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3390816 = 2531113219
BaseRepresentation
bin1100111011110101100000
320101021022210
430323311200
51332001231
6200402120
740551522
oct14736540
96337283
103390816
111a06630
121176340
13919500
14643a12
1546ea46
hex33bd60

3390816 has 144 divisors (see below), whose sum is σ = 11067840. Its totient is φ = 898560.

The previous prime is 3390809. The next prime is 3390839. The reversal of 3390816 is 6180933.

It is a super-2 number, since 2×33908162 = 22995266291712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178455 + ... + 178473.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

Almost surely, 23390816 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 3390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533920).

3390816 is an abundant number, since it is smaller than the sum of its proper divisors (7677024).

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

3390816 is a wasteful number, since it uses less digits than its factorization.

3390816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3390816 is about 1841.4168458011. The cubic root of 3390816 is about 150.2339460497.

The spelling of 3390816 in words is "three million, three hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 32 33 38 39 44 48 52 57 66 76 78 88 96 104 114 132 143 152 156 169 176 208 209 228 247 264 286 304 312 338 352 416 418 429 456 494 507 528 572 608 624 627 676 741 836 858 912 988 1014 1056 1144 1248 1254 1352 1482 1672 1716 1824 1859 1976 2028 2288 2508 2704 2717 2964 3211 3344 3432 3718 3952 4056 4576 5016 5408 5434 5577 5928 6422 6688 6864 7436 7904 8112 8151 9633 10032 10868 11154 11856 12844 13728 14872 16224 16302 19266 20064 21736 22308 23712 25688 29744 32604 35321 38532 43472 44616 51376 59488 65208 70642 77064 86944 89232 102752 105963 130416 141284 154128 178464 211926 260832 282568 308256 423852 565136 847704 1130272 1695408 3390816