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313207248 = 24319477307
BaseRepresentation
bin10010101010110…
…010100111010000
3210211100120120110
4102222302213100
51120140112443
651025041320
710522134444
oct2252624720
9724316513
10313207248
11150885272
1288a86240
134cb73443
142d850824
151c76c233
hex12ab29d0

313207248 has 80 divisors (see below), whose sum is σ = 869944320. Its totient is φ = 96789888.

The previous prime is 313207211. The next prime is 313207253. The reversal of 313207248 is 842702313.

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 15 ways as a sum of consecutive naturals, for example, 39211 + ... + 46517.

It is an arithmetic number, because the mean of its divisors is an integer number (10874304).

Almost surely, 2313207248 is an apocalyptic number.

313207248 is a gapful number since it is divisible by the number (38) 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 313207248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434972160).

313207248 is an abundant number, since it is smaller than the sum of its proper divisors (556737072).

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

313207248 is a wasteful number, since it uses less digits than its factorization.

313207248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7378 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 313207248 is about 17697.6622184965. The cubic root of 313207248 is about 679.1159561437.

The spelling of 313207248 in words is "three hundred thirteen million, two hundred seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 141 152 188 228 282 304 376 456 564 752 893 912 1128 1786 2256 2679 3572 5358 7144 7307 10716 14288 14614 21432 21921 29228 42864 43842 58456 87684 116912 138833 175368 277666 343429 350736 416499 555332 686858 832998 1030287 1110664 1373716 1665996 2060574 2221328 2747432 3331992 4121148 5494864 6525151 6663984 8242296 13050302 16484592 19575453 26100604 39150906 52201208 78301812 104402416 156603624 313207248