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2963968 = 297827
BaseRepresentation
bin1011010011101000000000
312120120210121
423103220000
51224321333
6143310024
734123210
oct13235000
95516717
102963968
111744967
12bab314
137ca137
14572240
153d832d
hex2d3a00

2963968 has 40 divisors (see below), whose sum is σ = 6776352. Its totient is φ = 1268736.

The previous prime is 2963957. The next prime is 2963971. The reversal of 2963968 is 8693692.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3171 + ... + 3997.

22963968 is an apocalyptic number.

2963968 is a gapful number since it is divisible by the number (28) 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 2963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388176).

2963968 is an abundant number, since it is smaller than the sum of its proper divisors (3812384).

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

2963968 is an frugal number, since it uses more digits than its factorization.

2963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 836 counting only the distinct ones).

The product of its digits is 139968, while the sum is 43.

The square root of 2963968 is about 1721.6178437737. The cubic root of 2963968 is about 143.6452171496.

The spelling of 2963968 in words is "two million, nine hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 827 896 1654 1792 3308 3584 5789 6616 11578 13232 23156 26464 46312 52928 92624 105856 185248 211712 370496 423424 740992 1481984 2963968