Search a number
-
+
3093696 = 263241131
BaseRepresentation
bin1011110011010011000000
312211011202100
423303103000
51242444241
6150150400
735203344
oct13632300
95734670
103093696
111823381
121052400
138441b8
145a7624
154119b6
hex2f34c0

3093696 has 84 divisors (see below), whose sum is σ = 9153144. Its totient is φ = 998400.

The previous prime is 3093689. The next prime is 3093703. The reversal of 3093696 is 6963903.

It is an interprime number because it is at equal distance from previous prime (3093689) and next prime (3093703).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3093696.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23551 + ... + 23681.

It is an arithmetic number, because the mean of its divisors is an integer number (108966).

Almost surely, 23093696 is an apocalyptic number.

3093696 is a gapful number since it is divisible by the number (36) 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 3093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576572).

3093696 is an abundant number, since it is smaller than the sum of its proper divisors (6059448).

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

3093696 is a wasteful number, since it uses less digits than its factorization.

3093696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3093696 is about 1758.8905594152. The cubic root of 3093696 is about 145.7110692979.

It can be divided in two parts, 309 and 3696, that added together give a triangular number (4005 = T89).

The spelling of 3093696 in words is "three million, ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 131 144 164 192 246 262 288 328 369 393 492 524 576 656 738 786 984 1048 1179 1312 1476 1572 1968 2096 2358 2624 2952 3144 3936 4192 4716 5371 5904 6288 7872 8384 9432 10742 11808 12576 16113 18864 21484 23616 25152 32226 37728 42968 48339 64452 75456 85936 96678 128904 171872 193356 257808 343744 386712 515616 773424 1031232 1546848 3093696