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64308312 = 233219291621
BaseRepresentation
bin1111010101010…
…0010001011000
311111000012102100
43311110101120
5112430331222
610214203400
71410416535
oct365242130
9144005370
1064308312
1133333872
1219653560
1310427c73
14877dd8c
1559a44ac
hex3d54458

64308312 has 96 divisors (see below), whose sum is σ = 189774000. Its totient is φ = 19595520.

The previous prime is 64308301. The next prime is 64308323. The reversal of 64308312 is 21380346.

It is a happy number.

64308312 is a `hidden beast` number, since 643 + 0 + 8 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (64308301) and next prime (64308323).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38862 + ... + 40482.

Almost surely, 264308312 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 64308312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94887000).

64308312 is an abundant number, since it is smaller than the sum of its proper divisors (125465688).

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

64308312 is a wasteful number, since it uses less digits than its factorization.

64308312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64308312 is about 8019.2463486290. The cubic root of 64308312 is about 400.6412879915.

Adding to 64308312 its reverse (21380346), we get a palindrome (85688658).

It can be divided in two parts, 64308 and 312, that added together give a triangular number (64620 = T359).

The spelling of 64308312 in words is "sixty-four million, three hundred eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 684 696 1044 1102 1368 1621 1653 2088 2204 3242 3306 4408 4863 4959 6484 6612 9726 9918 12968 13224 14589 19452 19836 29178 30799 38904 39672 47009 58356 61598 92397 94018 116712 123196 141027 184794 188036 246392 277191 282054 369588 376072 423081 554382 564108 739176 846162 893171 1108764 1128216 1692324 1786342 2217528 2679513 3384648 3572684 5359026 7145368 8038539 10718052 16077078 21436104 32154156 64308312