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313254080 = 2651138663
BaseRepresentation
bin10010101010111…
…110000011000000
3210211102221210222
4102222332003000
51120143112310
651030042212
710522421126
oct2252760300
9724387728
10313254080
11150907477
1288aa9368
134cb8b859
142d863916
151c77b055
hex12abe0c0

313254080 has 56 divisors (see below), whose sum is σ = 752624352. Its totient is φ = 124178432.

The previous prime is 313254079. The next prime is 313254113. The reversal of 313254080 is 80452313.

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, 31829 + ... + 40491.

Almost surely, 2313254080 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 313254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376312176).

313254080 is an abundant number, since it is smaller than the sum of its proper divisors (439370272).

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

313254080 is a wasteful number, since it uses less digits than its factorization.

313254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8783 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 313254080 is about 17698.9852816482. The cubic root of 313254080 is about 679.1498025011.

The spelling of 313254080 in words is "three hundred thirteen million, two hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1130 1808 2260 3616 4520 7232 8663 9040 17326 18080 34652 36160 43315 69304 86630 138608 173260 277216 346520 554432 693040 978919 1386080 1957838 2772160 3915676 4894595 7831352 9789190 15662704 19578380 31325408 39156760 62650816 78313520 156627040 313254080