Search a number
-
+
310051056 = 24374312141
BaseRepresentation
bin10010011110110…
…000000011110000
3210121102020002110
4102132300003300
51113333113211
650433245320
710453250640
oct2236600360
9717366073
10310051056
1114a019a47
1287a03840
134c309983
142d26c520
151c346ea6
hex127b00f0

310051056 has 80 divisors (see below), whose sum is σ = 917941248. Its totient is φ = 88339200.

The previous prime is 310051033. The next prime is 310051067. The reversal of 310051056 is 650150013.

It is a happy number.

It is a super-2 number, since 2×3100510562 = 192263314653430272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143746 + ... + 145886.

Almost surely, 2310051056 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 310051056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458970624).

310051056 is an abundant number, since it is smaller than the sum of its proper divisors (607890192).

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

310051056 is a wasteful number, since it uses less digits than its factorization.

310051056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 310051056 is about 17608.2666949362. The cubic root of 310051056 is about 676.8270982114.

The spelling of 310051056 in words is "three hundred ten million, fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 431 862 1293 1724 2141 2586 3017 3448 4282 5172 6034 6423 6896 8564 9051 10344 12068 12846 14987 17128 18102 20688 24136 25692 29974 34256 36204 44961 48272 51384 59948 72408 89922 102768 119896 144816 179844 239792 359688 719376 922771 1845542 2768313 3691084 5536626 6459397 7382168 11073252 12918794 14764336 19378191 22146504 25837588 38756382 44293008 51675176 77512764 103350352 155025528 310051056