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313444740 = 223575711307
BaseRepresentation
bin10010101011101…
…100100110000100
3210211210122100110
4102223230212010
51120220212430
651034113020
710524144030
oct2253544604
9724718313
10313444740
11150a27744
1288b7b770
134cc2757b
142d8b31c0
151c7b77b0
hex12aec984

313444740 has 96 divisors (see below), whose sum is σ = 1005548544. Its totient is φ = 71464320.

The previous prime is 313444717. The next prime is 313444801. The reversal of 313444740 is 47444313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313444698 and 313444707.

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 31 ways as a sum of consecutive naturals, for example, 239167 + ... + 240473.

It is an arithmetic number, because the mean of its divisors is an integer number (10474464).

Almost surely, 2313444740 is an apocalyptic number.

313444740 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 313444740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502774272).

313444740 is an abundant number, since it is smaller than the sum of its proper divisors (692103804).

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

313444740 is a wasteful number, since it uses less digits than its factorization.

313444740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 313444740 is about 17704.3706468205. The cubic root of 313444740 is about 679.2875612174.

It can be divided in two parts, 3134 and 44740, that added together give a palindrome (47874).

The spelling of 313444740 in words is "three hundred thirteen million, four hundred forty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 571 1142 1307 1713 2284 2614 2855 3426 3921 3997 5228 5710 6535 6852 7842 7994 8565 9149 11420 11991 13070 15684 15988 17130 18298 19605 19985 23982 26140 27447 34260 36596 39210 39970 45745 47964 54894 59955 78420 79940 91490 109788 119910 137235 182980 239820 274470 548940 746297 1492594 2238891 2985188 3731485 4477782 5224079 7462970 8955564 10448158 11194455 14925940 15672237 20896316 22388910 26120395 31344474 44777820 52240790 62688948 78361185 104481580 156722370 313444740