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34435730616 = 2337648131627
BaseRepresentation
bin100000000100100001…
…111000110010111000
310021212212220100212020
4200010201320302320
51031011021334431
623453005114440
72326230611040
oct400441706270
9107785810766
1034435730616
1113671088101
126810558a20
13332a358581
1419495c4720
15d6826e696
hex804878cb8

34435730616 has 64 divisors (see below), whose sum is σ = 98406094080. Its totient is φ = 9836951040.

The previous prime is 34435730603. The next prime is 34435730633. The reversal of 34435730616 is 61603753443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072995 + ... + 1104621.

It is an arithmetic number, because the mean of its divisors is an integer number (1537595220).

Almost surely, 234435730616 is an apocalyptic number.

It is an amenable number.

34435730616 is an abundant number, since it is smaller than the sum of its proper divisors (63970363464).

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

34435730616 is a wasteful number, since it uses less digits than its factorization.

34435730616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38124 (or 38120 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 34435730616 in words is "thirty-four billion, four hundred thirty-five million, seven hundred thirty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 6481 12962 19443 25924 31627 38886 45367 51848 63254 77772 90734 94881 126508 136101 155544 181468 189762 221389 253016 272202 362936 379524 442778 544404 664167 759048 885556 1088808 1328334 1771112 2656668 5313336 204974587 409949174 614923761 819898348 1229847522 1434822109 1639796696 2459695044 2869644218 4304466327 4919390088 5739288436 8608932654 11478576872 17217865308 34435730616