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2307101008 = 241761211659
BaseRepresentation
bin1000100110000011…
…1001000101010000
312221210012212121111
42021200321011100
514211104213013
61020533103104
7111113015002
oct21140710520
95853185544
102307101008
11a84331153
12544787a94
132a9c90334
1417c59a372
15d782573d
hex89839150

2307101008 has 80 divisors (see below), whose sum is σ = 4840672320. Its totient is φ = 1061222400.

The previous prime is 2307100933. The next prime is 2307101021. The reversal of 2307101008 is 8001017032.

It is a super-2 number, since 2×23071010082 = 10645430122229232128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2307101008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3500583 + ... + 3501241.

It is an arithmetic number, because the mean of its divisors is an integer number (60508404).

Almost surely, 22307101008 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 2307101008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420336160).

2307101008 is an abundant number, since it is smaller than the sum of its proper divisors (2533571312).

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

2307101008 is a wasteful number, since it uses less digits than its factorization.

2307101008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 2307101008 is about 48032.2913049128. The cubic root of 2307101008 is about 1321.3631861593.

The spelling of 2307101008 in words is "two billion, three hundred seven million, one hundred one thousand, eight".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 211 244 272 422 488 659 844 976 1037 1318 1688 2074 2636 3376 3587 4148 5272 7174 8296 10544 11203 12871 14348 16592 22406 25742 28696 40199 44812 51484 57392 80398 89624 102968 139049 160796 179248 205936 218807 278098 321592 437614 556196 643184 683383 875228 1112392 1366766 1750456 2224784 2363833 2733532 3500912 4727666 5467064 8481989 9455332 10934128 16963978 18910664 33927956 37821328 67855912 135711824 144193813 288387626 576775252 1153550504 2307101008