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313023040 = 26511175231
BaseRepresentation
bin10010101010000…
…101101001000000
3210211000012212221
4102222011221000
51120113214130
651021100424
710520436421
oct2252055100
9724005787
10313023040
11150769930
12889b7714
134cb0a645
142d803648
151c73287a
hex12a85a40

313023040 has 112 divisors (see below), whose sum is σ = 861145344. Its totient is φ = 107110400.

The previous prime is 313023017. The next prime is 313023047. The reversal of 313023040 is 40320313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (313023047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57225 + ... + 62455.

Almost surely, 2313023040 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 313023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430572672).

313023040 is an abundant number, since it is smaller than the sum of its proper divisors (548122304).

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

313023040 is a wasteful number, since it uses less digits than its factorization.

313023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 313023040 is about 17692.4571498704. The cubic root of 313023040 is about 678.9827928513.

Adding to 313023040 its reverse (40320313), we get a palindrome (353343353).

The spelling of 313023040 in words is "three hundred thirteen million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 352 374 440 544 680 704 748 880 935 1088 1360 1496 1760 1870 2720 2992 3520 3740 5231 5440 5984 7480 10462 11968 14960 20924 26155 29920 41848 52310 57541 59840 83696 88927 104620 115082 167392 177854 209240 230164 287705 334784 355708 418480 444635 460328 575410 711416 836960 889270 920656 978197 1150820 1422832 1673920 1778540 1841312 1956394 2301640 2845664 3557080 3682624 3912788 4603280 4890985 5691328 7114160 7825576 9206560 9781970 14228320 15651152 18413120 19563940 28456640 31302304 39127880 62604608 78255760 156511520 313023040