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313960290 = 23576124509
BaseRepresentation
bin10010101101101…
…010011101100010
3210212202211112220
4102231222131202
51120333212130
651053131510
710531422060
oct2255523542
9725684486
10313960290
1115124a016
1289189b96
1350078127
142d9a9030
151c86a410
hex12b6a762

313960290 has 64 divisors (see below), whose sum is σ = 875301120. Its totient is φ = 70583040.

The previous prime is 313960289. The next prime is 313960307. The reversal of 313960290 is 92069313.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556 + ... + 25064.

It is an arithmetic number, because the mean of its divisors is an integer number (13676580).

Almost surely, 2313960290 is an apocalyptic number.

313960290 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 313960290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437650560).

313960290 is an abundant number, since it is smaller than the sum of its proper divisors (561340830).

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

313960290 is a wasteful number, since it uses less digits than its factorization.

313960290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24587.

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 313960290 is about 17718.9246287691. The cubic root of 313960290 is about 679.6597851191.

The spelling of 313960290 in words is "three hundred thirteen million, nine hundred sixty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1281 1830 2135 2562 4270 6405 12810 24509 49018 73527 122545 147054 171563 245090 343126 367635 514689 735270 857815 1029378 1495049 1715630 2573445 2990098 4485147 5146890 7475245 8970294 10465343 14950490 20930686 22425735 31396029 44851470 52326715 62792058 104653430 156980145 313960290