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34196392104 = 2337416774099
BaseRepresentation
bin11111110110010000…
…111000100010101000
310021021012112201010220
4133312100320202220
51030013234021404
623413135210040
72320263352110
oct376620704250
9107235481126
1034196392104
1113558a76586
126764376920
1332bc8a9854
1419258c2040
15d522444d9
hex7f64388a8

34196392104 has 128 divisors (see below), whose sum is σ = 101582208000. Its totient is φ = 9389698560.

The previous prime is 34196392049. The next prime is 34196392127. The reversal of 34196392104 is 40129369143.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424447 + ... + 498545.

It is an arithmetic number, because the mean of its divisors is an integer number (793611000).

Almost surely, 234196392104 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 34196392104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50791104000).

34196392104 is an abundant number, since it is smaller than the sum of its proper divisors (67385815896).

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

34196392104 is a wasteful number, since it uses less digits than its factorization.

34196392104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74223 (or 74219 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 34196392104 in words is "thirty-four billion, one hundred ninety-six million, three hundred ninety-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 67 82 84 123 134 164 168 201 246 268 287 328 402 469 492 536 574 804 861 938 984 1148 1407 1608 1722 1876 2296 2747 2814 3444 3752 5494 5628 6888 8241 10988 11256 16482 19229 21976 32964 38458 57687 65928 74099 76916 115374 148198 153832 222297 230748 296396 444594 461496 518693 592792 889188 1037386 1556079 1778376 2074772 3038059 3112158 4149544 4964633 6076118 6224316 9114177 9929266 12152236 12448632 14893899 18228354 19858532 21266413 24304472 29787798 34752431 36456708 39717064 42532826 59575596 63799239 69504862 72913416 85065652 104257293 119151192 127598478 139009724 170131304 203549953 208514586 255196956 278019448 407099906 417029172 510393912 610649859 814199812 834058344 1221299718 1424849671 1628399624 2442599436 2849699342 4274549013 4885198872 5699398684 8549098026 11398797368 17098196052 34196392104