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234203648 = 297101647
BaseRepresentation
bin11011111010110…
…10101000000000
3121022200210000012
431331122220000
5434424004043
635123444052
75542461320
oct1575325000
9538623005
10234203648
11110224738
1266526628
13396a1753
1423167280
1515863a18
hexdf5aa00

234203648 has 80 divisors (see below), whose sum is σ = 540929664. Its totient is φ = 99225600.

The previous prime is 234203617. The next prime is 234203663. The reversal of 234203648 is 846302432.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361661 + ... + 362307.

Almost surely, 2234203648 is an apocalyptic number.

234203648 is a gapful number since it is divisible by the number (28) 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 234203648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270464832).

234203648 is an abundant number, since it is smaller than the sum of its proper divisors (306726016).

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

234203648 is an equidigital number, since it uses as much as digits as its factorization.

234203648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 234203648 is about 15303.7135362630. The cubic root of 234203648 is about 616.4027275964.

The spelling of 234203648 in words is "two hundred thirty-four million, two hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 256 404 448 512 647 707 808 896 1294 1414 1616 1792 2588 2828 3232 3584 4529 5176 5656 6464 9058 10352 11312 12928 18116 20704 22624 25856 36232 41408 45248 51712 65347 72464 82816 90496 130694 144928 165632 180992 261388 289856 331264 361984 457429 522776 579712 914858 1045552 1159424 1829716 2091104 2318848 3659432 4182208 7318864 8364416 14637728 16728832 29275456 33457664 58550912 117101824 234203648