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314990532 = 22344092377
BaseRepresentation
bin10010110001100…
…101111111000100
3210221201011210000
4102301211333010
51121114144112
651131201300
710543242513
oct2261457704
9727634700
10314990532
1115189305a
12895a6230
135034903c
142db9667a
151c9c07dc
hex12c65fc4

314990532 has 60 divisors (see below), whose sum is σ = 825808060. Its totient is φ = 104696064.

The previous prime is 314990527. The next prime is 314990539. The reversal of 314990532 is 235099413.

It is a happy number.

314990532 is a `hidden beast` number, since 31 + 4 + 9 + 90 + 532 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216266436 + 98724096 = 14706^2 + 9936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314990539) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131328 + ... + 133704.

Almost surely, 2314990532 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 314990532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412904030).

314990532 is an abundant number, since it is smaller than the sum of its proper divisors (510817528).

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

314990532 is a wasteful number, since it uses less digits than its factorization.

314990532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 314990532 is about 17747.9726166117. The cubic root of 314990532 is about 680.4023944747.

The spelling of 314990532 in words is "three hundred fourteen million, nine hundred ninety thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 409 818 1227 1636 2377 2454 3681 4754 4908 7131 7362 9508 11043 14262 14724 21393 22086 28524 33129 42786 44172 64179 66258 85572 128358 132516 192537 256716 385074 770148 972193 1944386 2916579 3888772 5833158 8749737 11666316 17499474 26249211 34998948 52498422 78747633 104996844 157495266 314990532