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234795008 = 212719431
BaseRepresentation
bin11011111111010…
…11000000000000
3121100210211012102
431333223000000
5440101420013
635144245532
75550503360
oct1577530000
9540724172
10234795008
11110598a68
12667708a8
133984a976
142327c9a0
151592dd58
hexdfeb000

234795008 has 104 divisors (see below), whose sum is σ = 566161920. Its totient is φ = 95109120.

The previous prime is 234794947. The next prime is 234795013. The reversal of 234795008 is 800597432.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 544553 + ... + 544983.

Almost surely, 2234795008 is an apocalyptic number.

234795008 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 234795008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283080960).

234795008 is an abundant number, since it is smaller than the sum of its proper divisors (331366912).

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

234795008 is an equidigital number, since it uses as much as digits as its factorization.

234795008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 234795008 is about 15323.0221562197. The cubic root of 234795008 is about 616.9210934873.

The spelling of 234795008 in words is "two hundred thirty-four million, seven hundred ninety-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 431 448 512 532 608 862 896 1024 1064 1216 1724 1792 2048 2128 2432 3017 3448 3584 4096 4256 4864 6034 6896 7168 8189 8512 9728 12068 13792 14336 16378 17024 19456 24136 27584 28672 32756 34048 38912 48272 55168 57323 65512 68096 77824 96544 110336 114646 131024 136192 193088 220672 229292 262048 272384 386176 441344 458584 524096 544768 772352 882688 917168 1048192 1544704 1765376 1834336 2096384 3089408 3668672 4192768 6178816 7337344 8385536 12357632 14674688 16771072 29349376 33542144 58698752 117397504 234795008