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34006953432 = 2332575513449
BaseRepresentation
bin11111101010111110…
…001110110111011000
310020210000002020010210
4133222332032313120
51024121240002212
623342251011120
72312503222554
oct375276166730
9106700066123
1034006953432
11134710474a1
126710a39aa0
13328c57c76a
14190868c864
15d407c453c
hex7eaf8edd8

34006953432 has 32 divisors (see below), whose sum is σ = 85348206000. Its totient is φ = 11291541504.

The previous prime is 34006953397. The next prime is 34006953437. The reversal of 34006953432 is 23435960043.

It is a super-4 number, since 4×340069534324 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34006953437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2750557 + ... + 2762892.

Almost surely, 234006953432 is an apocalyptic number.

It is an amenable number.

34006953432 is an abundant number, since it is smaller than the sum of its proper divisors (51341252568).

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

34006953432 is a wasteful number, since it uses less digits than its factorization.

34006953432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513715 (or 5513711 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 34006953432 in words is "thirty-four billion, six million, nine hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 257 514 771 1028 1542 2056 3084 6168 5513449 11026898 16540347 22053796 33080694 44107592 66161388 132322776 1416956393 2833912786 4250869179 5667825572 8501738358 11335651144 17003476716 34006953432