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103364456 = 231335881
BaseRepresentation
bin1100010100100…
…11011101101000
321012111110101012
412022103131220
5202430130311
614131243052
72363404046
oct612233550
9235443335
10103364456
115338a278
122a749488
1318551000
14da29396
15911b78b
hex6293768

103364456 has 32 divisors (see below), whose sum is σ = 209987400. Its totient is φ = 47698560.

The previous prime is 103364453. The next prime is 103364467. The reversal of 103364456 is 654463301.

It can be written as a sum of positive squares in 4 ways, for example, as 14364100 + 89000356 = 3790^2 + 9434^2 .

It is not an unprimeable number, because it can be changed into a prime (103364453) by changing a digit.

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, 14636 + ... + 20516.

Almost surely, 2103364456 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 103364456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993700).

103364456 is an abundant number, since it is smaller than the sum of its proper divisors (106622944).

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

103364456 is an equidigital number, since it uses as much as digits as its factorization.

103364456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 103364456 is about 10166.8311680681. The cubic root of 103364456 is about 469.3070458295.

The spelling of 103364456 in words is "one hundred three million, three hundred sixty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 2197 4394 5881 8788 11762 17576 23524 47048 76453 152906 305812 611624 993889 1987778 3975556 7951112 12920557 25841114 51682228 103364456