Search a number
-
+
3336096 = 253193159
BaseRepresentation
bin1100101110011110100000
320021111021010
430232132200
51323223341
6155300520
740233141
oct14563640
96244233
103336096
111979505
12114a740
138ca62a
1462bac8
1545d716
hex32e7a0

3336096 has 96 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1002240.

The previous prime is 3336089. The next prime is 3336101. The reversal of 3336096 is 6906333.

3336096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×33360962 = 22259073042432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56515 + ... + 56573.

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

Almost surely, 23336096 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 3336096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3336096 is an abundant number, since it is smaller than the sum of its proper divisors (6340704).

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

3336096 is a wasteful number, since it uses less digits than its factorization.

3336096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 3336096 is about 1826.4982890767. The cubic root of 3336096 is about 149.4214155810.

The spelling of 3336096 in words is "three million, three hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 59 62 76 93 96 114 118 124 152 177 186 228 236 248 304 354 372 456 472 496 589 608 708 744 912 944 992 1121 1178 1416 1488 1767 1824 1829 1888 2242 2356 2832 2976 3363 3534 3658 4484 4712 5487 5664 6726 7068 7316 8968 9424 10974 13452 14136 14632 17936 18848 21948 26904 28272 29264 34751 35872 43896 53808 56544 58528 69502 87792 104253 107616 139004 175584 208506 278008 417012 556016 834024 1112032 1668048 3336096