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313431420 = 223529612953
BaseRepresentation
bin10010101011101…
…001010101111100
3210211202222002010
4102223221111330
51120214301140
651033531220
710524060141
oct2253512574
9724688063
10313431420
11150a18735
1288b73b10
134cc214a3
142d8ac3c8
151c7b3880
hex12ae957c

313431420 has 96 divisors (see below), whose sum is σ = 923065920. Its totient is φ = 79349760.

The previous prime is 313431379. The next prime is 313431439. The reversal of 313431420 is 24134313.

It is a congruent 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, 104664 + ... + 107616.

It is an arithmetic number, because the mean of its divisors is an integer number (9615270).

Almost surely, 2313431420 is an apocalyptic number.

313431420 is a gapful number since it is divisible by the number (30) 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 313431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461532960).

313431420 is an abundant number, since it is smaller than the sum of its proper divisors (609634500).

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

313431420 is a wasteful number, since it uses less digits than its factorization.

313431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 313431420 is about 17703.9944645269. The cubic root of 313431420 is about 679.2779388531.

Adding to 313431420 its reverse (24134313), we get a palindrome (337565733).

The spelling of 313431420 in words is "three hundred thirteen million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 61 87 116 122 145 174 183 244 290 305 348 366 435 580 610 732 870 915 1220 1740 1769 1830 2953 3538 3660 5307 5906 7076 8845 8859 10614 11812 14765 17690 17718 21228 26535 29530 35380 35436 44295 53070 59060 85637 88590 106140 171274 177180 180133 256911 342548 360266 428185 513822 540399 720532 856370 900665 1027644 1080798 1284555 1712740 1801330 2161596 2569110 2701995 3602660 5138220 5223857 5403990 10447714 10807980 15671571 20895428 26119285 31343142 52238570 62686284 78357855 104477140 156715710 313431420