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314097270 = 235173119867
BaseRepresentation
bin10010101110001…
…011111001110110
3210220000210110020
4102232023321312
51120402103040
651100110010
710532532324
oct2256137166
9726023406
10314097270
11151332a23
1289235306
13500c5596
142da02d14
151c895cd0
hex12b8be76

314097270 has 64 divisors (see below), whose sum is σ = 823965696. Its totient is φ = 76285440.

The previous prime is 314097263. The next prime is 314097299. The reversal of 314097270 is 72790413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5877 + ... + 25743.

It is an arithmetic number, because the mean of its divisors is an integer number (12874464).

Almost surely, 2314097270 is an apocalyptic number.

314097270 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 314097270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411982848).

314097270 is an abundant number, since it is smaller than the sum of its proper divisors (509868426).

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

314097270 is a wasteful number, since it uses less digits than its factorization.

314097270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19925.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 314097270 is about 17722.7895659797. The cubic root of 314097270 is about 679.7586153044.

The spelling of 314097270 in words is "three hundred fourteen million, ninety-seven thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 5270 7905 15810 19867 39734 59601 99335 119202 198670 298005 337739 596010 615877 675478 1013217 1231754 1688695 1847631 2026434 3079385 3377390 3695262 5066085 6158770 9238155 10132170 10469909 18476310 20939818 31409727 52349545 62819454 104699090 157048635 314097270