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349804862172 = 223331104481739
BaseRepresentation
bin1010001011100011111…
…11101001101011011100
31020102220111120011121000
411011301333221223130
521212400021042142
6424410444110300
734162330161213
oct5056177515334
91212814504530
10349804862172
111253957a8417
1257964b35390
1326ca932745c
1412d0599807a
159174d5a14c
hex5171fe9adc

349804862172 has 48 divisors (see below), whose sum is σ = 936156390400. Its totient is φ = 112840277040.

The previous prime is 349804862107. The next prime is 349804862191. The reversal of 349804862172 is 271268408943.

349804862172 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 0 + 4 + 8 + 621 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52237522 + ... + 52244217.

Almost surely, 2349804862172 is an apocalyptic number.

It is an amenable number.

349804862172 is an abundant number, since it is smaller than the sum of its proper divisors (586351528228).

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

349804862172 is a wasteful number, since it uses less digits than its factorization.

349804862172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104481783 (or 104481775 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 349804862172 in words is "three hundred forty-nine billion, eight hundred four million, eight hundred sixty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 104481739 208963478 313445217 417926956 626890434 940335651 1253780868 1880671302 2821006953 3238933909 3761342604 5642013906 6477867818 9716801727 11284027812 12955735636 19433603454 29150405181 38867206908 58300810362 87451215543 116601620724 174902431086 349804862172