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34431056949 = 336013318691
BaseRepresentation
bin100000000100010000…
…000011110000110101
310021212120002220210110
4200010100003300311
51031003322310244
623452321013233
72326143104142
oct400420036065
9107776086713
1034431056949
1113669485773
12680aa84219
1333293b01a3
141948b293c9
15d67b499b9
hex804403c35

34431056949 has 8 divisors (see below), whose sum is σ = 45909494752. Its totient is φ = 22953328560.

The previous prime is 34431056939. The next prime is 34431056951. The reversal of 34431056949 is 94965013443.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34431056949 - 25 = 34431056917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34431056898 and 34431056907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431056939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51307 + ... + 267384.

It is an arithmetic number, because the mean of its divisors is an integer number (5738686844).

Almost surely, 234431056949 is an apocalyptic number.

It is an amenable number.

34431056949 is a deficient number, since it is larger than the sum of its proper divisors (11478437803).

34431056949 is a wasteful number, since it uses less digits than its factorization.

34431056949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354707.

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 34431056949 in words is "thirty-four billion, four hundred thirty-one million, fifty-six thousand, nine hundred forty-nine".

Divisors: 1 3 36013 108039 318691 956073 11477018983 34431056949