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313501420 = 22517273743
BaseRepresentation
bin10010101011111…
…010011011101100
3210211220112002201
4102223322123230
51120224021140
651035231244
710524501211
oct2253723354
9724815081
10313501420
11150a66291
1288ba8524
134cc472cb
142d8c9b08
151c7c949a
hex12afa6ec

313501420 has 72 divisors (see below), whose sum is σ = 709892064. Its totient is φ = 116250624.

The previous prime is 313501411. The next prime is 313501427. The reversal of 313501420 is 24105313.

It is not an unprimeable number, because it can be changed into a prime (313501427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421569 + ... + 422311.

It is an arithmetic number, because the mean of its divisors is an integer number (9859612).

Almost surely, 2313501420 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 313501420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354946032).

313501420 is an abundant number, since it is smaller than the sum of its proper divisors (396390644).

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

313501420 is a wasteful number, since it uses less digits than its factorization.

313501420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 313501420 is about 17705.9713091375. The cubic root of 313501420 is about 679.3285037862.

Adding to 313501420 its reverse (24105313), we get a palindrome (337606733).

The spelling of 313501420 in words is "three hundred thirteen million, five hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 289 292 340 365 578 730 743 1156 1241 1445 1460 1486 2482 2890 2972 3715 4964 5780 6205 7430 12410 12631 14860 21097 24820 25262 42194 50524 54239 63155 84388 105485 108478 126310 210970 214727 216956 252620 271195 421940 429454 542390 858908 922063 1073635 1084780 1844126 2147270 3688252 4294540 4610315 9220630 15675071 18441260 31350142 62700284 78375355 156750710 313501420