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64341312 = 26373977
BaseRepresentation
bin1111010101110…
…0010101000000
311111001212200120
43311130111000
5112432410222
610215020240
71410615000
oct365342500
9144055616
1064341312
1133356642
121966a680
1310439ca9
14878c000
1559ae15c
hex3d5c540

64341312 has 112 divisors (see below), whose sum is σ = 198729600. Its totient is φ = 18364416.

The previous prime is 64341307. The next prime is 64341331. The reversal of 64341312 is 21314346.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65368 + ... + 66344.

Almost surely, 264341312 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 64341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99364800).

64341312 is an abundant number, since it is smaller than the sum of its proper divisors (134388288).

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

64341312 is an equidigital number, since it uses as much as digits as its factorization.

64341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 989 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 64341312 is about 8021.3036346968. The cubic root of 64341312 is about 400.7098063590.

Adding to 64341312 its reverse (21314346), we get a palindrome (85655658).

The spelling of 64341312 in words is "sixty-four million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 977 1029 1176 1344 1372 1568 1954 2058 2352 2744 2931 3136 3908 4116 4704 5488 5862 6839 7816 8232 9408 10976 11724 13678 15632 16464 20517 21952 23448 27356 31264 32928 41034 46896 47873 54712 62528 65856 82068 93792 95746 109424 143619 164136 187584 191492 218848 287238 328272 335111 382984 437696 574476 656544 670222 765968 1005333 1148952 1313088 1340444 1531936 2010666 2297904 2680888 3063872 4021332 4595808 5361776 8042664 9191616 10723552 16085328 21447104 32170656 64341312