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64313106 = 231113233259
BaseRepresentation
bin1111010101010…
…1011100010010
311111000102222220
43311111130102
5112431004411
610214241510
71410436524
oct365253422
9144012886
1064313106
1133337430
1219656296
131042a1c0
148781a14
1559a5b06
hex3d55712

64313106 has 64 divisors (see below), whose sum is σ = 157731840. Its totient is φ = 17202240.

The previous prime is 64313069. The next prime is 64313107. The reversal of 64313106 is 60131346.

It is not an unprimeable number, because it can be changed into a prime (64313107) 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, 18105 + ... + 21363.

It is an arithmetic number, because the mean of its divisors is an integer number (2464560).

Almost surely, 264313106 is an apocalyptic number.

64313106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64313106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78865920).

64313106 is an abundant number, since it is smaller than the sum of its proper divisors (93418734).

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

64313106 is a wasteful number, since it uses less digits than its factorization.

64313106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 64313106 is about 8019.5452489527. The cubic root of 64313106 is about 400.6512432967.

The spelling of 64313106 in words is "sixty-four million, three hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 598 759 858 897 1518 1794 3259 3289 6518 6578 9777 9867 19554 19734 35849 42367 71698 74957 84734 107547 127101 149914 215094 224871 254202 449742 466037 824527 932074 974441 1398111 1649054 1948882 2473581 2796222 2923323 4947162 5846646 10718851 21437702 32156553 64313106