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3163968 = 26331831
BaseRepresentation
bin1100000100011101000000
312221202011000
430010131000
51302221333
6151452000
735615253
oct14043500
95852130
103163968
111871155
121087000
1386a192
145c509a
15427713
hex304740

3163968 has 56 divisors (see below), whose sum is σ = 9306560. Its totient is φ = 1054080.

The previous prime is 3163967. The next prime is 3163969. The reversal of 3163968 is 8693613.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3163967) and next prime (3163969).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3163961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 813 + ... + 2643.

Almost surely, 23163968 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 3163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653280).

3163968 is an abundant number, since it is smaller than the sum of its proper divisors (6142592).

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

3163968 is a wasteful number, since it uses less digits than its factorization.

3163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1836 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3163968 is about 1778.7546205140. The cubic root of 3163968 is about 146.8060749787.

The spelling of 3163968 in words is "three million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1831 3662 5493 7324 10986 14648 16479 21972 29296 32958 43944 49437 58592 65916 87888 98874 117184 131832 175776 197748 263664 351552 395496 527328 790992 1054656 1581984 3163968