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313254040 = 235112632707
BaseRepresentation
bin10010101010111…
…110000010011000
3210211102221202111
4102222332002120
51120143112130
651030042104
710522421041
oct2252760230
9724387674
10313254040
11150907440
1288aa9334
134cb8b828
142d8638c8
151c77b02a
hex12abe098

313254040 has 64 divisors (see below), whose sum is σ = 772104960. Its totient is φ = 113435520.

The previous prime is 313254017. The next prime is 313254047. The reversal of 313254040 is 40452313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313254047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 114367 + ... + 117073.

It is an arithmetic number, because the mean of its divisors is an integer number (12064140).

Almost surely, 2313254040 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 313254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386052480).

313254040 is an abundant number, since it is smaller than the sum of its proper divisors (458850920).

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

313254040 is a wasteful number, since it uses less digits than its factorization.

313254040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 313254040 is about 17698.9841516399. The cubic root of 313254040 is about 679.1497735938.

The spelling of 313254040 in words is "three hundred thirteen million, two hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 263 440 526 1052 1315 2104 2630 2707 2893 5260 5414 5786 10520 10828 11572 13535 14465 21656 23144 27070 28930 29777 54140 57860 59554 108280 115720 119108 148885 238216 297770 595540 711941 1191080 1423882 2847764 3559705 5695528 7119410 7831351 14238820 15662702 28477640 31325404 39156755 62650808 78313510 156627020 313254040