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314053542 = 2321113911411
BaseRepresentation
bin10010101110000…
…001001110100110
3210212221120110200
4102232001032212
51120344203132
651055131330
710532260665
oct2256011646
9725846420
10314053542
11151303090
1289213b46
13500ab6ca
142d9d0ddc
151c887d7c
hex12b813a6

314053542 has 48 divisors (see below), whose sum is σ = 747714240. Its totient is φ = 94474800.

The previous prime is 314053511. The next prime is 314053543. The reversal of 314053542 is 245350413.

314053542 is a `hidden beast` number, since 31 + 40 + 53 + 542 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314053543) by changing a digit.

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, 21817 + ... + 33227.

It is an arithmetic number, because the mean of its divisors is an integer number (15577380).

Almost surely, 2314053542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314053542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373857120).

314053542 is an abundant number, since it is smaller than the sum of its proper divisors (433660698).

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

314053542 is a wasteful number, since it uses less digits than its factorization.

314053542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11569 (or 11566 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 314053542 is about 17721.5558572040. Note that the first 3 decimals coincide. The cubic root of 314053542 is about 679.7270689576.

The spelling of 314053542 in words is "three hundred fourteen million, fifty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 139 198 278 417 834 1251 1529 2502 3058 4587 9174 11411 13761 22822 27522 34233 68466 102699 125521 205398 251042 376563 753126 1129689 1586129 2259378 3172258 4758387 9516774 14275161 17447419 28550322 34894838 52342257 104684514 157026771 314053542