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34314757620 = 223511133999389
BaseRepresentation
bin11111111101010100…
…011010010111110100
310021120110021022002220
4133331110122113310
51030234034220440
623433004202340
72323231425063
oct377524322764
9107513238086
1034314757620
1113609871320
126797b393b0
13330b280810
1419374d41da
15d5c8258d0
hex7fd51a5f4

34314757620 has 96 divisors (see below), whose sum is σ = 112878783360. Its totient is φ = 7678824960.

The previous prime is 34314757577. The next prime is 34314757627. The reversal of 34314757620 is 2675741343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314757627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991115 + ... + 2008274.

It is an arithmetic number, because the mean of its divisors is an integer number (1175820660).

Almost surely, 234314757620 is an apocalyptic number.

34314757620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34314757620 is an abundant number, since it is smaller than the sum of its proper divisors (78564025740).

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

34314757620 is a wasteful number, since it uses less digits than its factorization.

34314757620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999425 (or 3999423 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 34314757620 in words is "thirty-four billion, three hundred fourteen million, seven hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 3999389 7998778 11998167 15997556 19996945 23996334 39993890 43993279 47992668 51992057 59990835 79987780 87986558 103984114 119981670 131979837 155976171 175973116 207968228 219966395 239963340 259960285 263959674 311952342 439932790 519920570 527919348 571912627 623904684 659899185 779880855 879865580 1039841140 1143825254 1319798370 1559761710 1715737881 2287650508 2639596740 2859563135 3119523420 3431475762 5719126270 6862951524 8578689405 11438252540 17157378810 34314757620