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34052401044 = 2232945900029
BaseRepresentation
bin11111101101101011…
…100110011110010100
310020220011121012112200
4133231223212132110
51024214403313134
623350553044500
72313564430104
oct375553463624
9106804535480
1034052401044
1113494768a02
1267240b6730
133298b02a3c
14191071d204
15d447a0499
hex7edae6794

34052401044 has 18 divisors (see below), whose sum is σ = 86076902730. Its totient is φ = 11350800336.

The previous prime is 34052401039. The next prime is 34052401087. The reversal of 34052401044 is 44010425043.

It is a happy number.

34052401044 is a `hidden beast` number, since 3 + 405 + 240 + 10 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33046876944 + 1005524100 = 181788^2 + 31710^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×340524010442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34052400999 and 34052401017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 472949979 + ... + 472950050.

Almost surely, 234052401044 is an apocalyptic number.

It is an amenable number.

34052401044 is an abundant number, since it is smaller than the sum of its proper divisors (52024501686).

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

34052401044 is a wasteful number, since it uses less digits than its factorization.

34052401044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945900039 (or 945900034 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34052401044 its reverse (44010425043), we get a palindrome (78062826087).

The spelling of 34052401044 in words is "thirty-four billion, fifty-two million, four hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 945900029 1891800058 2837700087 3783600116 5675400174 8513100261 11350800348 17026200522 34052401044