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380837632 = 2874612
BaseRepresentation
bin10110101100110…
…001111100000000
3222112121120000111
4112230301330000
51234443301012
6101442401104
712303031540
oct2654617400
9875546014
10380837632
11185a77a4a
12a7660194
1360b92516
1438817320
152367aba7
hex16b31f00

380837632 has 54 divisors (see below), whose sum is σ = 870674504. Its totient is φ = 162862080.

The previous prime is 380837629. The next prime is 380837641. The reversal of 380837632 is 236738083.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 825882 + ... + 826342.

Almost surely, 2380837632 is an apocalyptic number.

380837632 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 380837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435337252).

380837632 is an abundant number, since it is smaller than the sum of its proper divisors (489836872).

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

380837632 is an frugal number, since it uses more digits than its factorization.

380837632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 380837632 is about 19515.0616704124. The cubic root of 380837632 is about 724.8474555001.

Multiplying 380837632 by its product of nonzero digits (145152), we get a square (55279343960064 = 74350082).

The spelling of 380837632 in words is "three hundred eighty million, eight hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 461 896 922 1792 1844 3227 3688 6454 7376 12908 14752 25816 29504 51632 59008 103264 118016 206528 212521 413056 425042 826112 850084 1487647 1700168 2975294 3400336 5950588 6800672 11901176 13601344 23802352 27202688 47604704 54405376 95209408 190418816 380837632