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235406064 = 24331281563
BaseRepresentation
bin11100000100000…
…00001011110000
3121101221212102010
432002000023300
5440230443224
635205322520
75555630025
oct1602001360
9541855363
10235406064
11110976073
1266a06440
1339a02b3a
142339b54c
15159eee29
hexe0802f0

235406064 has 80 divisors (see below), whose sum is σ = 631102464. Its totient is φ = 75532800.

The previous prime is 235406063. The next prime is 235406069. The reversal of 235406064 is 460604532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235406063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417847 + ... + 418409.

Almost surely, 2235406064 is an apocalyptic number.

235406064 is a gapful number since it is divisible by the number (24) 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 235406064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315551232).

235406064 is an abundant number, since it is smaller than the sum of its proper divisors (395696400).

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

235406064 is a wasteful number, since it uses less digits than its factorization.

235406064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 235406064 is about 15342.9483476938. The cubic root of 235406064 is about 617.4558106795.

The spelling of 235406064 in words is "two hundred thirty-five million, four hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 281 372 496 562 563 744 843 1124 1126 1488 1686 1689 2248 2252 3372 3378 4496 4504 6744 6756 8711 9008 13488 13512 17422 17453 26133 27024 34844 34906 52266 52359 69688 69812 104532 104718 139376 139624 158203 209064 209436 279248 316406 418128 418872 474609 632812 837744 949218 1265624 1898436 2531248 3796872 4904293 7593744 9808586 14712879 19617172 29425758 39234344 58851516 78468688 117703032 235406064