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313245440 = 2851012423
BaseRepresentation
bin10010101010111…
…011111100000000
3210211102111221222
4102222323330000
51120142323230
651025534212
710522354004
oct2252737400
9724374858
10313245440
11150900a32
1288aa4368
134cb87941
142d860704
151c7786e5
hex12abbf00

313245440 has 72 divisors (see below), whose sum is σ = 758062368. Its totient is φ = 124006400.

The previous prime is 313245341. The next prime is 313245463. The reversal of 313245440 is 44542313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128069 + ... + 130491.

It is an arithmetic number, because the mean of its divisors is an integer number (10528644).

Almost surely, 2313245440 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 313245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379031184).

313245440 is an abundant number, since it is smaller than the sum of its proper divisors (444816928).

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

313245440 is a wasteful number, since it uses less digits than its factorization.

313245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 313245440 is about 17698.7411981756. The cubic root of 313245440 is about 679.1435584662.

Adding to 313245440 its reverse (44542313), we get a palindrome (357787753).

The spelling of 313245440 in words is "three hundred thirteen million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1010 1280 1616 2020 2423 3232 4040 4846 6464 8080 9692 12115 12928 16160 19384 24230 25856 32320 38768 48460 64640 77536 96920 129280 155072 193840 244723 310144 387680 489446 620288 775360 978892 1223615 1550720 1957784 2447230 3101440 3915568 4894460 7831136 9788920 15662272 19577840 31324544 39155680 62649088 78311360 156622720 313245440