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312274944 = 2123243197
BaseRepresentation
bin10010100111001…
…111000000000000
3210202121012200200
4102213033000000
51114420244234
650553045200
710511202402
oct2247170000
9722535620
10312274944
111502a8873
12886b6800
134c907c97
142d68ab72
151c635d99
hex129cf000

312274944 has 156 divisors (see below), whose sum is σ = 927679896. Its totient is φ = 101154816.

The previous prime is 312274943. The next prime is 312274951. The reversal of 312274944 is 449472213.

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

It is a junction number, because it is equal to n+sod(n) for n = 312274899 and 312274908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312274943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1585054 + ... + 1585250.

It is an arithmetic number, because the mean of its divisors is an integer number (5946666).

Almost surely, 2312274944 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 312274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463839948).

312274944 is an abundant number, since it is smaller than the sum of its proper divisors (615404952).

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

312274944 is a wasteful number, since it uses less digits than its factorization.

312274944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 312274944 is about 17671.3028382177. The cubic root of 312274944 is about 678.4414594337.

The spelling of 312274944 in words is "three hundred twelve million, two hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 197 256 258 288 344 384 387 394 512 516 576 591 688 768 774 788 1024 1032 1152 1182 1376 1536 1548 1576 1773 2048 2064 2304 2364 2752 3072 3096 3152 3546 4096 4128 4608 4728 5504 6144 6192 6304 7092 8256 8471 9216 9456 11008 12288 12384 12608 14184 16512 16942 18432 18912 22016 24768 25216 25413 28368 33024 33884 36864 37824 44032 49536 50432 50826 56736 66048 67768 75648 76239 88064 99072 100864 101652 113472 132096 135536 151296 152478 176128 198144 201728 203304 226944 264192 271072 302592 304956 396288 403456 406608 453888 528384 542144 605184 609912 792576 806912 813216 907776 1084288 1210368 1219824 1585152 1626432 1815552 2168576 2420736 2439648 3252864 3631104 4337152 4879296 6505728 7262208 8674304 9758592 13011456 17348608 19517184 26022912 34697216 39034368 52045824 78068736 104091648 156137472 312274944