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4312968 = 2331117312
BaseRepresentation
bin10000011100111110001000
322010010021120
4100130332020
52101003333
6232235240
751442152
oct20347610
98103246
104312968
112486440
12153bb20
13b8016a
14803ad2
155a2db3
hex41cf88

4312968 has 96 divisors (see below), whose sum is σ = 12869280. Its totient is φ = 1190400.

The previous prime is 4312961. The next prime is 4312969. The reversal of 4312968 is 8692134.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (10368) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139113 + ... + 139143.

It is an arithmetic number, because the mean of its divisors is an integer number (134055).

Almost surely, 24312968 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 4312968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434640).

4312968 is an abundant number, since it is smaller than the sum of its proper divisors (8556312).

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

4312968 is a wasteful number, since it uses less digits than its factorization.

4312968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 4312968 is about 2076.7686438311. The cubic root of 4312968 is about 162.7766396302.

The spelling of 4312968 in words is "four million, three hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 31 33 34 44 51 62 66 68 88 93 102 124 132 136 186 187 204 248 264 341 372 374 408 527 561 682 744 748 961 1023 1054 1122 1364 1496 1581 1922 2046 2108 2244 2728 2883 3162 3844 4092 4216 4488 5766 5797 6324 7688 8184 10571 11532 11594 12648 16337 17391 21142 23064 23188 31713 32674 34782 42284 46376 49011 63426 65348 69564 84568 98022 126852 130696 139128 179707 196044 253704 359414 392088 539121 718828 1078242 1437656 2156484 4312968