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34040362304 = 2613193758199
BaseRepresentation
bin11111101100111101…
…101011010101000000
310020212022221120111102
4133230331223111000
51024203313043204
623345443033532
72313360206534
oct375475532500
9106768846442
1034040362304
1113488996033
12672006b8a8
133296479220
14190cca7bc4
15d436c341e
hex7ecf6b540

34040362304 has 112 divisors (see below), whose sum is σ = 78644496000. Its totient is φ = 14481524736.

The previous prime is 34040362297. The next prime is 34040362351. The reversal of 34040362304 is 40326304043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555797 + ... + 613995.

It is an arithmetic number, because the mean of its divisors is an integer number (702183000).

Almost surely, 234040362304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39322248000).

34040362304 is an abundant number, since it is smaller than the sum of its proper divisors (44604133696).

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

34040362304 is a wasteful number, since it uses less digits than its factorization.

34040362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58280 (or 58270 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 34040362304 its reverse (40326304043), we get a palindrome (74366666347).

The spelling of 34040362304 in words is "thirty-four billion, forty million, three hundred sixty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 37 38 52 64 74 76 104 148 152 208 247 296 304 416 481 494 592 608 703 832 962 988 1184 1216 1406 1924 1976 2368 2812 3848 3952 5624 7696 7904 9139 11248 15392 15808 18278 22496 30784 36556 44992 58199 73112 116398 146224 232796 292448 465592 584896 756587 931184 1105781 1513174 1862368 2153363 2211562 3026348 3724736 4306726 4423124 6052696 8613452 8846248 12105392 14375153 17226904 17692496 24210784 27993719 28750306 34453808 35384992 40913897 48421568 55987438 57500612 68907616 70769984 81827794 111974876 115001224 137815232 163655588 223949752 230002448 327311176 447899504 460004896 531880661 654622352 895799008 920009792 1063761322 1309244704 1791598016 2127522644 2618489408 4255045288 8510090576 17020181152 34040362304