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313441401 = 37132349919
BaseRepresentation
bin10010101011101…
…011110001111001
3210211210110202210
4102223223301321
51120220111101
651034045333
710524131220
oct2253536171
9724713683
10313441401
11150a25189
1288b79849
134cc25bb0
142d8b1cb7
151c7b67d6
hex12aebc79

313441401 has 32 divisors (see below), whose sum is σ = 536739840. Its totient is φ = 158140224.

The previous prime is 313441399. The next prime is 313441409. The reversal of 313441401 is 104144313.

It is not a de Polignac number, because 313441401 - 21 = 313441399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (313441409) 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 31 ways as a sum of consecutive naturals, for example, 18681 + ... + 31238.

It is an arithmetic number, because the mean of its divisors is an integer number (16773120).

Almost surely, 2313441401 is an apocalyptic number.

It is an amenable number.

313441401 is a deficient number, since it is larger than the sum of its proper divisors (223298439).

313441401 is a wasteful number, since it uses less digits than its factorization.

313441401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49965.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 313441401 is about 17704.2763478206. The cubic root of 313441401 is about 679.2851491503.

Adding to 313441401 its reverse (104144313), we get a palindrome (417585714).

The spelling of 313441401 in words is "three hundred thirteen million, four hundred forty-one thousand, four hundred one".

Divisors: 1 3 7 13 21 23 39 69 91 161 273 299 483 897 2093 6279 49919 149757 349433 648947 1048299 1148137 1946841 3444411 4542629 8036959 13627887 14925781 24110877 44777343 104480467 313441401