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3390072 = 2337171187
BaseRepresentation
bin1100111011101001111000
320101020022020
430323221320
51331440242
6200354440
740546410
oct14735170
96336266
103390072
111a06014
121175a20
1391907a
14643640
1546e6ec
hex33ba78

3390072 has 64 divisors (see below), whose sum is σ = 10264320. Its totient is φ = 910848.

The previous prime is 3390061. The next prime is 3390073. The reversal of 3390072 is 2700933.

It is a super-2 number, since 2×33900722 = 22985176330368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263 + ... + 3449.

It is an arithmetic number, because the mean of its divisors is an integer number (160380).

Almost surely, 23390072 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 3390072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132160).

3390072 is an abundant number, since it is smaller than the sum of its proper divisors (6874248).

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

3390072 is a wasteful number, since it uses less digits than its factorization.

3390072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 3390072 is about 1841.2148163645. The cubic root of 3390072 is about 150.2229573249. Note that the first 3 decimals are identical.

The spelling of 3390072 in words is "three million, three hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1187 1428 2374 2856 3561 4748 7122 8309 9496 14244 16618 20179 24927 28488 33236 40358 49854 60537 66472 80716 99708 121074 141253 161432 199416 242148 282506 423759 484296 565012 847518 1130024 1695036 3390072