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34057331604 = 223623507803
BaseRepresentation
bin11111101101111110…
…011010001110010100
310020220111212201000000
4133231332122032110
51024222134102404
623351250451300
72313654353652
oct375576321624
9106814781000
1034057331604
111349752634a
126725893b30
133299b3b02a
141911243dd2
15d44e26339
hex7edf9a394

34057331604 has 84 divisors (see below), whose sum is σ = 93245001696. Its totient is φ = 10858837968.

The previous prime is 34057331591. The next prime is 34057331657. The reversal of 34057331604 is 40613375043.

34057331604 is a `hidden beast` number, since 3 + 40 + 5 + 7 + 3 + 3 + 1 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 186834 + ... + 320969.

It is an arithmetic number, because the mean of its divisors is an integer number (1110059544).

Almost surely, 234057331604 is an apocalyptic number.

It is an amenable number.

34057331604 is an abundant number, since it is smaller than the sum of its proper divisors (59187670092).

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

34057331604 is a wasteful number, since it uses less digits than its factorization.

34057331604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507848 (or 507831 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 34057331604 in words is "thirty-four billion, fifty-seven million, three hundred thirty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 729 828 972 1242 1458 1863 2484 2916 3726 5589 7452 11178 16767 22356 33534 67068 507803 1015606 1523409 2031212 3046818 4570227 6093636 9140454 11679469 13710681 18280908 23358938 27421362 35038407 41132043 46717876 54842724 70076814 82264086 105115221 123396129 140153628 164528172 210230442 246792258 315345663 370188387 420460884 493584516 630691326 740376774 946036989 1261382652 1480753548 1892073978 2838110967 3784147956 5676221934 8514332901 11352443868 17028665802 34057331604