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319838090 = 251121320333
BaseRepresentation
bin10011000100000…
…101011110001010
3211021211110101012
4103010011132022
51123334304330
651423123522
710632402365
oct2304053612
9737743335
10319838090
111545a4100
128b1435a2
1351355610
14306990dc
151d12bc95
hex1310578a

319838090 has 48 divisors (see below), whose sum is σ = 681514344. Its totient is φ = 107352960.

The previous prime is 319838063. The next prime is 319838107. The reversal of 319838090 is 90838913.

It can be written as a sum of positive squares in 4 ways, for example, as 280663009 + 39175081 = 16753^2 + 6259^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5564 + ... + 25896.

Almost surely, 2319838090 is an apocalyptic number.

319838090 is an abundant number, since it is smaller than the sum of its proper divisors (361676254).

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

319838090 is a wasteful number, since it uses less digits than its factorization.

319838090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20375 (or 20364 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 319838090 is about 17884.0177253323. The cubic root of 319838090 is about 683.8749999568.

The spelling of 319838090 in words is "three hundred nineteen million, eight hundred thirty-eight thousand, ninety".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 121 130 143 242 286 605 715 1210 1430 1573 3146 7865 15730 20333 40666 101665 203330 223663 264329 447326 528658 1118315 1321645 2236630 2460293 2643290 2907619 4920586 5815238 12301465 14538095 24602930 29076190 31983809 63967618 159919045 319838090