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9034197840 = 243356136823
BaseRepresentation
bin10000110100111101…
…01110101101010000
3212022121102210122000
420122132232231100
5122000223312330
64052242114000
7436606262133
oct103236565520
925277383560
109034197840
113916629608
12190164b900
13b0c894bc5
14619b9821a
1537d1d4560
hex21a7aeb50

9034197840 has 160 divisors (see below), whose sum is σ = 31173123840. Its totient is φ = 2404836864.

The previous prime is 9034197829. The next prime is 9034197857. The reversal of 9034197840 is 487914309.

9034197840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90341978402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320669 + ... + 1327491.

It is an arithmetic number, because the mean of its divisors is an integer number (194832024).

Almost surely, 29034197840 is an apocalyptic number.

9034197840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9034197840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15586561920).

9034197840 is an abundant number, since it is smaller than the sum of its proper divisors (22138926000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9034197840 is a wasteful number, since it uses less digits than its factorization.

9034197840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458 (or 7446 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9034197840 is about 95048.3973562942. The cubic root of 9034197840 is about 2082.7150995568.

The spelling of 9034197840 in words is "nine billion, thirty-four million, one hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 613 720 1080 1226 1839 2160 2452 3065 3678 4904 5517 6130 6823 7356 9195 9808 11034 12260 13646 14712 16551 18390 20469 22068 24520 27292 27585 29424 33102 34115 36780 40938 44136 49040 54584 55170 61407 66204 68230 73560 81876 82755 88272 102345 109168 110340 122814 132408 136460 147120 163752 165510 184221 204690 220680 245628 264816 272920 307035 327504 331020 368442 409380 441360 491256 545840 614070 662040 736884 818760 921105 982512 1228140 1324080 1473768 1637520 1842210 2456280 2947536 3684420 4182499 4912560 7368840 8364998 12547497 14737680 16729996 20912495 25094994 33459992 37642491 41824990 50189988 62737485 66919984 75284982 83649980 100379976 112927473 125474970 150569964 167299960 188212455 200759952 225854946 250949940 301139928 334599920 376424910 451709892 501899880 564637365 602279856 752849820 903419784 1003799760 1129274730 1505699640 1806839568 2258549460 3011399280 4517098920 9034197840