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313750080 = 26325779197
BaseRepresentation
bin10010101100110…
…111001001000000
3210212101011012100
4102230313021000
51120310000310
651044430400
710526555160
oct2254671100
9725334170
10313750080
11151116096
12890a8400
1350003547
142d9525a0
151c827ec0
hex12b37240

313750080 has 336 divisors, whose sum is σ = 1255288320. Its totient is φ = 70447104.

The previous prime is 313750057. The next prime is 313750091. The reversal of 313750080 is 80057313.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3137500802 = 196878225400012800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592542 + ... + 1592738.

Almost surely, 2313750080 is an apocalyptic number.

313750080 is a gapful number since it is divisible by the number (30) 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 313750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627644160).

313750080 is an abundant number, since it is smaller than the sum of its proper divisors (941538240).

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

313750080 is a wasteful number, since it uses less digits than its factorization.

313750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 313750080 is about 17712.9918421480. The cubic root of 313750080 is about 679.5080640405.

The spelling of 313750080 in words is "three hundred thirteen million, seven hundred fifty thousand, eighty".