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234749664 = 253629347
BaseRepresentation
bin11011111110111…
…11111011100000
3121100201112000000
431333133323200
5440043442124
635143300000
75550224232
oct1577377340
9540645000
10234749664
11110567996
126674a600
1339833136
142326a252
15159206c9
hexdfdfee0

234749664 has 168 divisors, whose sum is σ = 718887960. Its totient is φ = 75333888.

The previous prime is 234749659. The next prime is 234749717. The reversal of 234749664 is 466947432.

It is a happy number.

It is a super-2 number, since 2×2347496642 = 110214809496225792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 676339 + ... + 676685.

It is an arithmetic number, because the mean of its divisors is an integer number (4279095).

Almost surely, 2234749664 is an apocalyptic number.

234749664 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 234749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359443980).

234749664 is an abundant number, since it is smaller than the sum of its proper divisors (484138296).

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

234749664 is an equidigital number, since it uses as much as digits as its factorization.

234749664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 234749664 is about 15321.5424810950. The cubic root of 234749664 is about 616.8813773234.

The spelling of 234749664 in words is "two hundred thirty-four million, seven hundred forty-nine thousand, six hundred sixty-four".