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3394222272 = 26337280607
BaseRepresentation
bin1100101001001111…
…1011100011000000
322202112211100122000
43022103323203000
523422410103042
61320445544000
7150053261520
oct31223734300
98675740560
103394222272
111491a4a481
127a8875000
1342128205c
14242b05680
1514ceb574c
hexca4fb8c0

3394222272 has 112 divisors (see below), whose sum is σ = 11403909120. Its totient is φ = 969774336.

The previous prime is 3394222259. The next prime is 3394222277. The reversal of 3394222272 is 2722224933.

3394222272 is a `hidden beast` number, since 3 + 3 + 9 + 422 + 227 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3394222277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128208 + ... + 152399.

Almost surely, 23394222272 is an apocalyptic number.

3394222272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3394222272 is an abundant number, since it is smaller than the sum of its proper divisors (8009686848).

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

3394222272 is a wasteful number, since it uses less digits than its factorization.

3394222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280635 (or 280619 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3394222272 is about 58259.9542739264. The cubic root of 3394222272 is about 1502.8423546115.

The spelling of 3394222272 in words is "three billion, three hundred ninety-four million, two hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 280607 561214 841821 1122428 1683642 1964249 2244856 2525463 3367284 3928498 4489712 5050926 5892747 6734568 7576389 7856996 8979424 10101852 11785494 13469136 15152778 15713992 17678241 17958848 20203704 23570988 26938272 30305556 31427984 35356482 40407408 47141976 53034723 53876544 60611112 62855968 70712964 80814816 94283952 106069446 121222224 125711936 141425928 161629632 188567904 212138892 242444448 282851856 377135808 424277784 484888896 565703712 848555568 1131407424 1697111136 3394222272