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34443480 = 23353147197
BaseRepresentation
bin1000001101100…
…1000011011000
32101210220120110
42003121003120
532304142410
63230124320
7565523211
oct203310330
971726513
1034443480
1118495995
12b6506a0
13719c676
144808408
153055720
hex20d90d8

34443480 has 128 divisors (see below), whose sum is σ = 109486080. Its totient is φ = 8655360.

The previous prime is 34443469. The next prime is 34443491. The reversal of 34443480 is 8434443.

It is an interprime number because it is at equal distance from previous prime (34443469) and next prime (34443491).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174742 + ... + 174938.

It is an arithmetic number, because the mean of its divisors is an integer number (855360).

Almost surely, 234443480 is an apocalyptic number.

34443480 is a gapful number since it is divisible by the number (30) 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 34443480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743040).

34443480 is an abundant number, since it is smaller than the sum of its proper divisors (75042600).

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

34443480 is a wasteful number, since it uses less digits than its factorization.

34443480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 34443480 is about 5868.8567881658. The cubic root of 34443480 is about 325.3636324389.

The spelling of 34443480 in words is "thirty-four million, four hundred forty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 47 60 62 93 94 120 124 141 155 186 188 197 235 248 282 310 372 376 394 465 470 564 591 620 705 744 788 930 940 985 1128 1182 1240 1410 1457 1576 1860 1880 1970 2364 2820 2914 2955 3720 3940 4371 4728 5640 5828 5910 6107 7285 7880 8742 9259 11656 11820 12214 14570 17484 18321 18518 21855 23640 24428 27777 29140 30535 34968 36642 37036 43710 46295 48856 55554 58280 61070 73284 74072 87420 91605 92590 111108 122140 138885 146568 174840 183210 185180 222216 244280 277770 287029 366420 370360 555540 574058 732840 861087 1111080 1148116 1435145 1722174 2296232 2870290 3444348 4305435 5740580 6888696 8610870 11481160 17221740 34443480