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3360996 = 2232891049
BaseRepresentation
bin1100110100100011100100
320022202102100
430310203210
51330022441
6200012100
740365552
oct14644344
96282370
103360996
111996191
121161030
13908a72
14636bd2
15465cb6
hex3348e4

3360996 has 36 divisors (see below), whose sum is σ = 8599500. Its totient is φ = 1106688.

The previous prime is 3360983. The next prime is 3360997. The reversal of 3360996 is 6990633.

3360996 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 1440000 = 1386^2 + 1200^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33609962 = 22592588224032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 3360996.

It is not an unprimeable number, because it can be changed into a prime (3360997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2680 + ... + 3728.

It is an arithmetic number, because the mean of its divisors is an integer number (238875).

Almost surely, 23360996 is an apocalyptic number.

3360996 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 3360996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299750).

3360996 is an abundant number, since it is smaller than the sum of its proper divisors (5238504).

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

3360996 is a wasteful number, since it uses less digits than its factorization.

3360996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1143 counting only the distinct ones).

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

The square root of 3360996 is about 1833.3019391251. The cubic root of 3360996 is about 149.7922457206.

It can be divided in two parts, 3360 and 996, that added together give a square (4356 = 662).

The spelling of 3360996 in words is "three million, three hundred sixty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1049 1068 1602 2098 3147 3204 4196 6294 9441 12588 18882 37764 93361 186722 280083 373444 560166 840249 1120332 1680498 3360996