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313342040 = 235113791879
BaseRepresentation
bin10010101011010…
…011100001011000
3210211121102110202
4102223103201120
51120203421130
651032001332
710523235434
oct2253234130
9724542422
10313342040
11150967570
1288b30248
134cbbc8bb
142d8879c4
151c797145
hex12ad3858

313342040 has 64 divisors (see below), whose sum is σ = 771552000. Its totient is φ = 113581440.

The previous prime is 313342037. The next prime is 313342067. The reversal of 313342040 is 40243313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165821 + ... + 167699.

It is an arithmetic number, because the mean of its divisors is an integer number (12055500).

Almost surely, 2313342040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385776000).

313342040 is an abundant number, since it is smaller than the sum of its proper divisors (458209960).

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

313342040 is a wasteful number, since it uses less digits than its factorization.

313342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 313342040 is about 17701.4699954552. The cubic root of 313342040 is about 679.2133637122.

Adding to 313342040 its reverse (40243313), we get a palindrome (353585353).

The spelling of 313342040 in words is "three hundred thirteen million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 379 440 758 1516 1879 1895 3032 3758 3790 4169 7516 7580 8338 9395 15032 15160 16676 18790 20669 20845 33352 37580 41338 41690 75160 82676 83380 103345 165352 166760 206690 413380 712141 826760 1424282 2848564 3560705 5697128 7121410 7833551 14242820 15667102 28485640 31334204 39167755 62668408 78335510 156671020 313342040