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314052150 = 235210320327
BaseRepresentation
bin10010101110000…
…000111000110110
3210212221111120010
4102232000320312
51120344132100
651055121050
710532253636
oct2256007066
9725844503
10314052150
11151302035
1289213186
13500aab99
142d9d06c6
151c887750
hex12b80e36

314052150 has 48 divisors (see below), whose sum is σ = 786449664. Its totient is φ = 82930080.

The previous prime is 314052149. The next prime is 314052191. The reversal of 314052150 is 51250413.

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 23 ways as a sum of consecutive naturals, for example, 5287 + ... + 25613.

It is an arithmetic number, because the mean of its divisors is an integer number (16384368).

Almost surely, 2314052150 is an apocalyptic number.

314052150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314052150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393224832).

314052150 is an abundant number, since it is smaller than the sum of its proper divisors (472397514).

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

314052150 is a wasteful number, since it uses less digits than its factorization.

314052150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20445 (or 20440 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 314052150 is about 17721.5165829564. The cubic root of 314052150 is about 679.7260646899.

The spelling of 314052150 in words is "three hundred fourteen million, fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 103 150 206 309 515 618 1030 1545 2575 3090 5150 7725 15450 20327 40654 60981 101635 121962 203270 304905 508175 609810 1016350 1524525 2093681 3049050 4187362 6281043 10468405 12562086 20936810 31405215 52342025 62810430 104684050 157026075 314052150