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3348072 = 2332721373
BaseRepresentation
bin1100110001011001101000
320022002200200
430301121220
51324114242
6155432200
740313100
oct14613150
96262620
103348072
111987502
121155660
13902c10
14632200
1546204c
hex331668

3348072 has 144 divisors (see below), whose sum is σ = 11515140. Its totient is φ = 870912.

The previous prime is 3348067. The next prime is 3348083. The reversal of 3348072 is 2708433.

It can be written as a sum of positive squares in 2 ways, for example, as 3261636 + 86436 = 1806^2 + 294^2 .

It is a super-2 number, since 2×33480722 = 22419172234368, which contains 22 as substring.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45828 + ... + 45900.

Almost surely, 23348072 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 3348072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757570).

3348072 is an abundant number, since it is smaller than the sum of its proper divisors (8167068).

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

3348072 is a wasteful number, since it uses less digits than its factorization.

3348072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3348072 is about 1829.7737565065. The cubic root of 3348072 is about 149.6000009532.

The spelling of 3348072 in words is "three million, three hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 73 78 84 91 98 104 117 126 146 147 156 168 182 196 219 234 252 273 292 294 312 364 392 438 441 468 504 511 546 584 588 637 657 728 819 876 882 936 949 1022 1092 1176 1274 1314 1533 1638 1752 1764 1898 1911 2044 2184 2548 2628 2847 3066 3276 3528 3577 3796 3822 4088 4599 5096 5256 5694 5733 6132 6552 6643 7154 7592 7644 8541 9198 10731 11388 11466 12264 13286 14308 15288 17082 18396 19929 21462 22776 22932 26572 28616 32193 34164 36792 39858 42924 45864 46501 53144 59787 64386 68328 79716 85848 93002 119574 128772 139503 159432 186004 239148 257544 279006 372008 418509 478296 558012 837018 1116024 1674036 3348072