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313445376 = 210343779
BaseRepresentation
bin10010101011101…
…100110000000000
3210211210200020000
4102223230300000
51120220223001
651034120000
710524145626
oct2253546000
9724720200
10313445376
11150a28172
1288b80000
134cc2794a
142d8b3516
151c7b7a86
hex12aecc00

313445376 has 110 divisors (see below), whose sum is σ = 936256860. Its totient is φ = 104454144.

The previous prime is 313445359. The next prime is 313445383. The reversal of 313445376 is 673544313.

313445376 is a `hidden beast` number, since 3 + 134 + 453 + 76 = 666.

It is a super-4 number, since 4×3134453764 (a number of 35 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 313445376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81055 + ... + 84833.

It is an arithmetic number, because the mean of its divisors is an integer number (8511426).

Almost surely, 2313445376 is an apocalyptic number.

313445376 is a gapful number since it is divisible by the number (36) 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 313445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468128430).

313445376 is an abundant number, since it is smaller than the sum of its proper divisors (622811484).

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

313445376 is an equidigital number, since it uses as much as digits as its factorization.

313445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3784 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 313445376 is about 17704.3886084778. The cubic root of 313445376 is about 679.2880206568.

Adding to 313445376 its reverse (673544313), we get a palindrome (986989689).

The spelling of 313445376 in words is "three hundred thirteen million, four hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 3779 4608 5184 6912 7558 9216 10368 11337 13824 15116 20736 22674 27648 30232 34011 41472 45348 60464 68022 82944 90696 102033 120928 136044 181392 204066 241856 272088 306099 362784 408132 483712 544176 612198 725568 816264 967424 1088352 1224396 1451136 1632528 1934848 2176704 2448792 2902272 3265056 3869696 4353408 4897584 5804544 6530112 8706816 9795168 11609088 13060224 17413632 19590336 26120448 34827264 39180672 52240896 78361344 104481792 156722688 313445376