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64234896 = 24311192337
BaseRepresentation
bin1111010100001…
…0010110010000
311110212110201020
43311002112100
5112421004041
610212435440
71406662515
oct365022620
9143773636
1064234896
11332936a0
1219618b80
131040071b
14876130c
15598c866
hex3d42590

64234896 has 120 divisors (see below), whose sum is σ = 191621664. Its totient is φ = 18385920.

The previous prime is 64234861. The next prime is 64234897. The reversal of 64234896 is 69843246.

It is a happy number.

It is a super-2 number, since 2×642348962 = 8252243728261632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64234897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190440 + ... + 190776.

Almost surely, 264234896 is an apocalyptic number.

64234896 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64234896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95810832).

64234896 is an abundant number, since it is smaller than the sum of its proper divisors (127386768).

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

64234896 is a wasteful number, since it uses less digits than its factorization.

64234896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 372 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 64234896 is about 8014.6675539289. The cubic root of 64234896 is about 400.4887691851.

The spelling of 64234896 in words is "sixty-four million, two hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 337 361 418 456 528 627 674 722 836 912 1011 1083 1254 1348 1444 1672 2022 2166 2508 2696 2888 3344 3707 3971 4044 4332 5016 5392 5776 6403 7414 7942 8088 8664 10032 11121 11913 12806 14828 15884 16176 17328 19209 22242 23826 25612 29656 31768 38418 44484 47652 51224 59312 63536 70433 76836 88968 95304 102448 121657 140866 153672 177936 190608 211299 243314 281732 307344 364971 422598 486628 563464 729942 845196 973256 1126928 1338227 1459884 1690392 1946512 2676454 2919768 3380784 4014681 5352908 5839536 8029362 10705816 16058724 21411632 32117448 64234896