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103234304 = 282389197
BaseRepresentation
bin1100010011100…
…11101100000000
321012020211211202
412021303230000
5202411444204
614124400332
72362322435
oct611635400
9235224752
10103234304
1153300508
122a6a60a8
13185069b4
14d9d3b8c
1590e2e1e
hex6273b00

103234304 has 72 divisors (see below), whose sum is σ = 218544480. Its totient is φ = 48570368.

The previous prime is 103234303. The next prime is 103234333. The reversal of 103234304 is 403432301.

It is not an unprimeable number, because it can be changed into a prime (103234303) 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 7 ways as a sum of consecutive naturals, for example, 523934 + ... + 524130.

It is an arithmetic number, because the mean of its divisors is an integer number (3035340).

Almost surely, 2103234304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109272240).

103234304 is an abundant number, since it is smaller than the sum of its proper divisors (115310176).

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

103234304 is an equidigital number, since it uses as much as digits as its factorization.

103234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 103234304 is about 10160.4283374275. The cubic root of 103234304 is about 469.1099861313.

Adding to 103234304 its reverse (403432301), we get a palindrome (506666605).

The spelling of 103234304 in words is "one hundred three million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 197 256 356 368 394 712 736 788 1424 1472 1576 2047 2848 2944 3152 4094 4531 5696 5888 6304 8188 9062 11392 12608 16376 17533 18124 22784 25216 32752 35066 36248 50432 65504 70132 72496 131008 140264 144992 262016 280528 289984 403259 524032 561056 579968 806518 1122112 1159936 1613036 2244224 3226072 4488448 6452144 12904288 25808576 51617152 103234304