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3109728 = 253291117
BaseRepresentation
bin1011110111001101100000
312211222202010
423313031200
51244002403
6150352520
735301156
oct13671540
95758663
103109728
111834426
12105b740
1384b59b
145ad3d6
15416603
hex2f7360

3109728 has 48 divisors (see below), whose sum is σ = 8452080. Its totient is φ = 999936.

The previous prime is 3109709. The next prime is 3109747. The reversal of 3109728 is 8279013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3109709) and next prime (3109747).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3109695 and 3109704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2226 + ... + 3342.

It is an arithmetic number, because the mean of its divisors is an integer number (176085).

Almost surely, 23109728 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 3109728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226040).

3109728 is an abundant number, since it is smaller than the sum of its proper divisors (5342352).

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

3109728 is a wasteful number, since it uses less digits than its factorization.

3109728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3109728 is about 1763.4420886437. The cubic root of 3109728 is about 145.9623346887.

It can be divided in two parts, 31097 and 28, that added together give a triangular number (31125 = T249).

The spelling of 3109728 in words is "three million, one hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1117 1392 2234 2784 3351 4468 6702 8936 13404 17872 26808 32393 35744 53616 64786 97179 107232 129572 194358 259144 388716 518288 777432 1036576 1554864 3109728