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34404356640 = 2535103695881
BaseRepresentation
bin100000000010101010…
…001101001000100000
310021210200212101212010
4200002222031020200
51030430003403030
623445524432520
72325400130523
oct400252151040
9107720771763
1034404356640
11136553a93a5
126801b48740
1333239c20a4
141945378bba
15d656236b0
hex802a8d220

34404356640 has 96 divisors (see below), whose sum is σ = 109426052736. Its totient is φ = 9085409280.

The previous prime is 34404356621. The next prime is 34404356641. The reversal of 34404356640 is 4665340443.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34404356641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298501 + ... + 397380.

It is an arithmetic number, because the mean of its divisors is an integer number (1139854716).

Almost surely, 234404356640 is an apocalyptic number.

34404356640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34404356640 is an abundant number, since it is smaller than the sum of its proper divisors (75021696096).

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

34404356640 is a wasteful number, since it uses less digits than its factorization.

34404356640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696002 (or 695994 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 34404356640 in words is "thirty-four billion, four hundred four million, three hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 695881 1391762 2087643 2783524 3479405 4175286 5567048 6958810 8350572 10438215 11134096 13917620 16701144 20876430 22268192 27835240 33402288 41752860 55670480 66804576 71675743 83505720 111340960 143351486 167011440 215027229 286702972 334022880 358378715 430054458 573405944 716757430 860108916 1075136145 1146811888 1433514860 1720217832 2150272290 2293623776 2867029720 3440435664 4300544580 5734059440 6880871328 8601089160 11468118880 17202178320 34404356640