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34321103240 = 235231731911129
BaseRepresentation
bin11111111101101100…
…100111100110001000
310021120220012200122212
4133331230213212020
51030242200300430
623433352204252
72323336364324
oct377554474610
9107526180585
1034321103240
1113612405936
12679a099688
13330c692c18
1419382a6984
15d5d17ab95
hex7fdb27988

34321103240 has 128 divisors (see below), whose sum is σ = 81542246400. Its totient is φ = 12975790080.

The previous prime is 34321103237. The next prime is 34321103269. The reversal of 34321103240 is 4230112343.

It is a super-2 number, since 2×343211032402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 30398996 + ... + 30400124.

It is an arithmetic number, because the mean of its divisors is an integer number (637048800).

Almost surely, 234321103240 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 34321103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40771123200).

34321103240 is an abundant number, since it is smaller than the sum of its proper divisors (47221143160).

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

34321103240 is a wasteful number, since it uses less digits than its factorization.

34321103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34321103240 its reverse (4230112343), we get a palindrome (38551215583).

The spelling of 34321103240 in words is "thirty-four billion, three hundred twenty-one million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 173 184 191 230 346 382 460 692 764 865 920 955 1129 1384 1528 1730 1910 2258 3460 3820 3979 4393 4516 5645 6920 7640 7958 8786 9032 11290 15916 17572 19895 21965 22580 25967 31832 33043 35144 39790 43930 45160 51934 66086 79580 87860 103868 129835 132172 159160 165215 175720 195317 207736 215639 259670 264344 330430 390634 431278 519340 660860 759989 781268 862556 976585 1038680 1078195 1321720 1519978 1562536 1725112 1953170 2156390 3039956 3799945 3906340 4312780 4492291 4959697 6079912 7599890 7812680 8625560 8984582 9919394 15199780 17969164 19838788 22461455 24798485 30399560 35938328 37305547 39677576 44922910 49596970 74611094 89845820 99193940 149222188 179691640 186527735 198387880 298444376 373055470 746110940 858027581 1492221880 1716055162 3432110324 4290137905 6864220648 8580275810 17160551620 34321103240