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34486552320 = 283511816443
BaseRepresentation
bin100000000111100011…
…110000011100000000
310022000102112101010120
4200013203300130000
51031112024133240
623502022300240
72330415600213
oct400743603400
9108012471116
1034486552320
111369783a210
126825587680
133337a4099c
14195225377a
15d6c95cad0
hex8078f0700

34486552320 has 144 divisors (see below), whose sum is σ = 120154430592. Its totient is φ = 8360366080.

The previous prime is 34486552307. The next prime is 34486552339. The reversal of 34486552320 is 2325568443.

It is a happy number.

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, 365982 + ... + 450461.

It is an arithmetic number, because the mean of its divisors is an integer number (834405768).

Almost surely, 234486552320 is an apocalyptic number.

34486552320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34486552320 is an abundant number, since it is smaller than the sum of its proper divisors (85667878272).

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

34486552320 is a wasteful number, since it uses less digits than its factorization.

34486552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816478 (or 816464 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 34486552320 in words is "thirty-four billion, four hundred eighty-six million, five hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 816443 1632886 2449329 3265772 4082215 4898658 6531544 8164430 8980873 9797316 12246645 13063088 16328860 17961746 19594632 24493290 26126176 26942619 32657720 35923492 39189264 44904365 48986580 52252352 53885238 65315440 71846984 78378528 89808730 97973160 104504704 107770476 130630880 134713095 143693968 156757056 179617460 195946320 209009408 215540952 261261760 269426190 287387936 313514112 359234920 391892640 431081904 522523520 538852380 574775872 627028224 718469840 783785280 862163808 1045047040 1077704760 1149551744 1436939680 1567570560 1724327616 2155409520 2299103488 2873879360 3135141120 3448655232 4310819040 5747758720 6897310464 8621638080 11495517440 17243276160 34486552320