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3103968 = 253731149
BaseRepresentation
bin1011110101110011100000
312211200211210
423311303200
51243311333
6150310120
735245320
oct13656340
95750753
103103968
11183006a
121058340
13848a8a
145ab280
15414a63
hex2f5ce0

3103968 has 96 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 852480.

The previous prime is 3103949. The next prime is 3103981. The reversal of 3103968 is 8693013.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20758 + ... + 20906.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

Almost surely, 23103968 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 3103968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3103968 is an abundant number, since it is smaller than the sum of its proper divisors (6572832).

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

3103968 is a wasteful number, since it uses less digits than its factorization.

3103968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3103968 is about 1761.8081620880. The cubic root of 3103968 is about 145.8721593130.

It can be divided in two parts, 310 and 3968, that added together give a triangular number (4278 = T92).

The spelling of 3103968 in words is "three million, one hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 149 168 186 217 224 248 298 336 372 434 447 496 596 651 672 744 868 894 992 1043 1192 1302 1488 1736 1788 2086 2384 2604 2976 3129 3472 3576 4172 4619 4768 5208 6258 6944 7152 8344 9238 10416 12516 13857 14304 16688 18476 20832 25032 27714 32333 33376 36952 50064 55428 64666 73904 96999 100128 110856 129332 147808 193998 221712 258664 387996 443424 517328 775992 1034656 1551984 3103968