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372317472 = 25343792
BaseRepresentation
bin10110001100010…
…001110100100000
3221221120200120000
4112030101310200
51230303124342
6100540020000
712140434452
oct2614216440
9857520500
10372317472
1118118869a
12a4831600
135c19b3c7
143763a2d2
1522a4644c
hex16311d20

372317472 has 90 divisors (see below), whose sum is σ = 1097872083. Its totient is φ = 123778368.

The previous prime is 372317461. The next prime is 372317489. The reversal of 372317472 is 274713273.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 186158736 + 186158736 = 13644^2 + 13644^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=13644.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 982179 + ... + 982557.

Almost surely, 2372317472 is an apocalyptic number.

372317472 is a gapful number since it is divisible by the number (32) 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 372317472

372317472 is an abundant number, since it is smaller than the sum of its proper divisors (725554611).

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

372317472 is an frugal number, since it uses more digits than its factorization.

372317472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 384 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 372317472 is about 19295.5298450185. The cubic root of 372317472 is about 719.4011687508.

The spelling of 372317472 in words is "three hundred seventy-two million, three hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 379 432 648 758 864 1137 1296 1516 2274 2592 3032 3411 4548 6064 6822 9096 10233 12128 13644 18192 20466 27288 30699 36384 40932 54576 61398 81864 109152 122796 143641 163728 245592 287282 327456 430923 491184 574564 861846 982368 1149128 1292769 1723692 2298256 2585538 3447384 3878307 4596512 5171076 6894768 7756614 10342152 11634921 13789536 15513228 20684304 23269842 31026456 41368608 46539684 62052912 93079368 124105824 186158736 372317472