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34123723280 = 2451743583511
BaseRepresentation
bin11111110001111011…
…101011001000010000
310021002010210202020222
4133301323223020100
51024341133121110
623402021452212
72315421601463
oct376173531020
9107063722228
1034123723280
1113520a523a9
126743b71068
1332aa81534a
141919da72da
15d4ab8cc55
hex7f1eeb210

34123723280 has 80 divisors (see below), whose sum is σ = 85958319744. Its totient is φ = 12547799040.

The previous prime is 34123723279. The next prime is 34123723307. The reversal of 34123723280 is 8232732143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 34123723280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233276 + ... + 350235.

Almost surely, 234123723280 is an apocalyptic number.

It is an amenable number.

34123723280 is an abundant number, since it is smaller than the sum of its proper divisors (51834596464).

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

34123723280 is a wasteful number, since it uses less digits than its factorization.

34123723280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583584 (or 583578 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 34123723280 in words is "thirty-four billion, one hundred twenty-three million, seven hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 430 680 688 731 860 1360 1462 1720 2924 3440 3655 5848 7310 11696 14620 29240 58480 583511 1167022 2334044 2917555 4668088 5835110 9336176 9919687 11670220 19839374 23340440 25090973 39678748 46680880 49598435 50181946 79357496 99196870 100363892 125454865 158714992 198393740 200727784 250909730 396787480 401455568 426546541 501819460 793574960 853093082 1003638920 1706186164 2007277840 2132732705 3412372328 4265465410 6824744656 8530930820 17061861640 34123723280