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64906344 = 23325373233
BaseRepresentation
bin1111011110011…
…0010001101000
311112010120202200
43313212101220
5113104000334
610235100200
71415460216
oct367462150
9145116680
1064906344
1133702108
12198a1660
13105a7229
148897cb6
155a71799
hex3de6468

64906344 has 96 divisors (see below), whose sum is σ = 182337480. Its totient is φ = 20846592.

The previous prime is 64906327. The next prime is 64906367. The reversal of 64906344 is 44360946.

64906344 is a `hidden beast` number, since 649 + 0 + 6 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54908100 + 9998244 = 7410^2 + 3162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64906299 and 64906308.

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, 278452 + ... + 278684.

Almost surely, 264906344 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 64906344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91168740).

64906344 is an abundant number, since it is smaller than the sum of its proper divisors (117431136).

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

64906344 is a wasteful number, since it uses less digits than its factorization.

64906344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 64906344 is about 8056.4473560000. The cubic root of 64906344 is about 401.8793727328.

The spelling of 64906344 in words is "sixty-four million, nine hundred six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 73 106 146 159 212 219 233 292 318 424 438 466 477 584 636 657 699 876 932 954 1272 1314 1398 1752 1864 1908 2097 2628 2796 3816 3869 4194 5256 5592 7738 8388 11607 12349 15476 16776 17009 23214 24698 30952 34018 34821 37047 46428 49396 51027 68036 69642 74094 92856 98792 102054 111141 136072 139284 148188 153081 204108 222282 278568 296376 306162 408216 444564 612324 889128 901477 1224648 1802954 2704431 3605908 5408862 7211816 8113293 10817724 16226586 21635448 32453172 64906344