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3423213040 = 2451347591187
BaseRepresentation
bin1100110000001010…
…0001010111110000
322211120101020111011
43030002201113300
524002320304130
61323403200304
7150554554642
oct31402412760
98746336434
103423213040
1114a7350695
127b6516094
13427292860
142468d0892
151507e052a
hexcc0a15f0

3423213040 has 160 divisors (see below), whose sum is σ = 8909429760. Its totient is φ = 1215071232.

The previous prime is 3423213023. The next prime is 3423213089. The reversal of 3423213040 is 403123243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2883327 + ... + 2884513.

It is an arithmetic number, because the mean of its divisors is an integer number (55683936).

Almost surely, 23423213040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454714880).

3423213040 is an abundant number, since it is smaller than the sum of its proper divisors (5486216720).

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

3423213040 is a wasteful number, since it uses less digits than its factorization.

3423213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3423213040 is about 58508.2305321226. The cubic root of 3423213040 is about 1507.1089281290.

Adding to 3423213040 its reverse (403123243), we get a palindrome (3826336283).

The spelling of 3423213040 in words is "three billion, four hundred twenty-three million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 59 65 80 94 104 118 130 188 208 235 236 260 295 376 470 472 520 590 611 752 767 940 944 1040 1180 1187 1222 1534 1880 2360 2374 2444 2773 3055 3068 3760 3835 4720 4748 4888 5546 5935 6110 6136 7670 9496 9776 11092 11870 12220 12272 13865 15340 15431 18992 22184 23740 24440 27730 30680 30862 36049 44368 47480 48880 55460 55789 61360 61724 70033 72098 77155 94960 110920 111578 123448 140066 144196 154310 180245 221840 223156 246896 278945 280132 288392 308620 350165 360490 446312 557890 560264 576784 617240 700330 720980 725257 892624 910429 1115780 1120528 1234480 1400660 1441960 1450514 1820858 2231560 2801320 2883920 2901028 3291551 3626285 3641716 4463120 4552145 5602640 5802056 6583102 7252570 7283432 9104290 11604112 13166204 14505140 14566864 16457755 18208580 26332408 29010280 32915510 36417160 42790163 52664816 58020560 65831020 72834320 85580326 131662040 171160652 213950815 263324080 342321304 427901630 684642608 855803260 1711606520 3423213040