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64348344 = 233579419
BaseRepresentation
bin1111010101111…
…0000010111000
311111002020100000
43311132002320
5112433121334
610215113000
71410644334
oct365360270
9144066300
1064348344
1133360955
1219672760
1310440258
1487907c4
1559b1299
hex3d5e0b8

64348344 has 96 divisors (see below), whose sum is σ = 183456000. Its totient is φ = 21127392.

The previous prime is 64348337. The next prime is 64348357. The reversal of 64348344 is 44384346.

64348344 is a `hidden beast` number, since 643 + 4 + 8 + 3 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64348299 and 64348308.

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, 153367 + ... + 153785.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 264348344 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 64348344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728000).

64348344 is an abundant number, since it is smaller than the sum of its proper divisors (119107656).

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

64348344 is a wasteful number, since it uses less digits than its factorization.

64348344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 503 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 64348344 is about 8021.7419554608. The cubic root of 64348344 is about 400.7244039719.

The spelling of 64348344 in words is "sixty-four million, three hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 243 316 324 419 474 486 632 648 711 838 948 972 1257 1422 1676 1896 1944 2133 2514 2844 3352 3771 4266 5028 5688 6399 7542 8532 10056 11313 12798 15084 17064 19197 22626 25596 30168 33101 33939 38394 45252 51192 66202 67878 76788 90504 99303 101817 132404 135756 153576 198606 203634 264808 271512 297909 397212 407268 595818 794424 814536 893727 1191636 1787454 2383272 2681181 3574908 5362362 7149816 8043543 10724724 16087086 21449448 32174172 64348344