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631280384 = 287379521
BaseRepresentation
bin100101101000001…
…001001100000000
31121222212100212222
4211220021030000
52243101433014
6142350310212
721433536410
oct4550111400
91558770788
10631280384
112a4383329
121574b8368
13a0a2b5b7
145dbaa640
153a64b08e
hex25a09300

631280384 has 72 divisors (see below), whose sum is σ = 1479185568. Its totient is φ = 263208960.

The previous prime is 631280357. The next prime is 631280413. The reversal of 631280384 is 483082136.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61544 + ... + 71064.

It is an arithmetic number, because the mean of its divisors is an integer number (20544244).

Almost surely, 2631280384 is an apocalyptic number.

631280384 is a gapful number since it is divisible by the number (64) 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 631280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739592784).

631280384 is an abundant number, since it is smaller than the sum of its proper divisors (847905184).

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

631280384 is an equidigital number, since it uses as much as digits as its factorization.

631280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 631280384 is about 25125.2937097261. The cubic root of 631280384 is about 857.8422488960.

The spelling of 631280384 in words is "six hundred thirty-one million, two hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 518 592 896 1036 1184 1792 2072 2368 4144 4736 8288 9472 9521 16576 19042 33152 38084 66304 66647 76168 133294 152336 266588 304672 352277 533176 609344 704554 1066352 1218688 1409108 2132704 2437376 2465939 2818216 4265408 4931878 5636432 8530816 9863756 11272864 17061632 19727512 22545728 39455024 45091456 78910048 90182912 157820096 315640192 631280384