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313719696 = 24331794057
BaseRepresentation
bin10010101100101…
…111101110010000
3210212022121112000
4102230233232100
51120303012241
651044034000
710526400453
oct2254575620
9725277460
10313719696
111510a5284
1289092900
134ccc2774
142d94549a
151c81deb6
hex12b2fb90

313719696 has 80 divisors (see below), whose sum is σ = 905745600. Its totient is φ = 103963392.

The previous prime is 313719691. The next prime is 313719713. The reversal of 313719696 is 696917313.

It is not an unprimeable number, because it can be changed into a prime (313719691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75300 + ... + 79356.

It is an arithmetic number, because the mean of its divisors is an integer number (11321820).

Almost surely, 2313719696 is an apocalyptic number.

313719696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313719696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452872800).

313719696 is an abundant number, since it is smaller than the sum of its proper divisors (592025904).

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

313719696 is a wasteful number, since it uses less digits than its factorization.

313719696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4241 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 313719696 is about 17712.1341458335. The cubic root of 313719696 is about 679.4861284929.

The spelling of 313719696 in words is "three hundred thirteen million, seven hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 179 216 358 432 537 716 1074 1432 1611 2148 2864 3222 4057 4296 4833 6444 8114 8592 9666 12171 12888 16228 19332 24342 25776 32456 36513 38664 48684 64912 73026 77328 97368 109539 146052 194736 219078 292104 438156 584208 726203 876312 1452406 1752624 2178609 2904812 4357218 5809624 6535827 8714436 11619248 13071654 17428872 19607481 26143308 34857744 39214962 52286616 78429924 104573232 156859848 313719696