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313978590 = 23256157191
BaseRepresentation
bin10010101101101…
…110111011011110
3210212210202122200
4102231232323132
51120334303330
651053352330
710531526322
oct2255567336
9725722580
10313978590
11151261842
12891986a6
1350083563
142d9b1982
151c870a60
hex12b6eede

313978590 has 48 divisors (see below), whose sum is σ = 829741536. Its totient is φ = 82353600.

The previous prime is 313978583. The next prime is 313978603. The reversal of 313978590 is 95879313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23106 + ... + 34085.

It is an arithmetic number, because the mean of its divisors is an integer number (17286282).

Almost surely, 2313978590 is an apocalyptic number.

313978590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313978590 is an abundant number, since it is smaller than the sum of its proper divisors (515762946).

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

313978590 is a wasteful number, since it uses less digits than its factorization.

313978590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57265 (or 57262 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 313978590 is about 17719.4410182714. The cubic root of 313978590 is about 679.6729901143.

The spelling of 313978590 in words is "three hundred thirteen million, nine hundred seventy-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 57191 114382 171573 285955 343146 514719 571910 857865 1029438 1715730 2573595 3488651 5147190 6977302 10465953 17443255 20931906 31397859 34886510 52329765 62795718 104659530 156989295 313978590