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34237037044 = 22723414432927
BaseRepresentation
bin11111111000101011…
…111011100111110100
310021101001000200112001
4133320223323213310
51030104140141134
623421150305044
72321266004350
oct377053734764
9107331020461
1034237037044
1113579a07741
126775ab8184
1332c813ab02
14192b062460
15d55ac2414
hex7f8afb9f4

34237037044 has 96 divisors (see below), whose sum is σ = 73384206336. Its totient is φ = 13657163520.

The previous prime is 34237037027. The next prime is 34237037053. The reversal of 34237037044 is 44073073243.

It is a junction number, because it is equal to n+sod(n) for n = 34237036994 and 34237037012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11695509 + ... + 11698435.

It is an arithmetic number, because the mean of its divisors is an integer number (764418816).

Almost surely, 234237037044 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 34237037044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36692103168).

34237037044 is an abundant number, since it is smaller than the sum of its proper divisors (39147169292).

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

34237037044 is a wasteful number, since it uses less digits than its factorization.

34237037044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 37.

The spelling of 34237037044 in words is "thirty-four billion, two hundred thirty-seven million, thirty-seven thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 164 287 322 443 574 644 886 943 1148 1772 1886 2927 3101 3772 5854 6202 6601 10189 11708 12404 13202 18163 20378 20489 26404 36326 40756 40978 67321 71323 72652 81956 120007 127141 134642 142646 240014 254282 269284 285292 417749 471247 480028 508564 835498 840049 942494 1296661 1670996 1680098 1884988 2593322 2760161 2924243 3360196 5186644 5520322 5848486 9076627 11040644 11696972 18153254 19321127 29823203 36306508 38642254 53163101 59646406 77284508 106326202 119292812 208762421 212652404 372141707 417524842 744283414 835049684 1222751323 1488566828 2445502646 4891005292 8559259261 17118518522 34237037044