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317377044 = 2232291092789
BaseRepresentation
bin10010111010101…
…100101000010100
3211010012102110100
4102322230220110
51122222031134
651254254100
710602442335
oct2272545024
9733172410
10317377044
11153173086
128a357330
13509a338a
143021828c
151cce2999
hex12eaca14

317377044 has 72 divisors (see below), whose sum is σ = 837837000. Its totient is φ = 101170944.

The previous prime is 317377037. The next prime is 317377051. The reversal of 317377044 is 440773713.

It is an interprime number because it is at equal distance from previous prime (317377037) and next prime (317377051).

It can be written as a sum of positive squares in 4 ways, for example, as 92736900 + 224640144 = 9630^2 + 14988^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 112402 + ... + 115190.

It is an arithmetic number, because the mean of its divisors is an integer number (11636625).

Almost surely, 2317377044 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 317377044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418918500).

317377044 is an abundant number, since it is smaller than the sum of its proper divisors (520459956).

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

317377044 is a wasteful number, since it uses less digits than its factorization.

317377044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 317377044 is about 17815.0791185445. The cubic root of 317377044 is about 682.1164193262.

It can be divided in two parts, 31737 and 7044, that added together give a triangular number (38781 = T278).

The spelling of 317377044 in words is "three hundred seventeen million, three hundred seventy-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 109 116 174 218 261 327 348 436 522 654 981 1044 1308 1962 2789 3161 3924 5578 6322 8367 9483 11156 12644 16734 18966 25101 28449 33468 37932 50202 56898 80881 100404 113796 161762 242643 304001 323524 485286 608002 727929 912003 970572 1216004 1455858 1824006 2736009 2911716 3648012 5472018 8816029 10944036 17632058 26448087 35264116 52896174 79344261 105792348 158688522 317377044