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3064896 = 263217313
BaseRepresentation
bin1011101100010001000000
312202201020200
423230101000
51241034041
6145405200
735023362
oct13542100
95681220
103064896
11180377a
121039800
13834063
1459ad32
154081b6
hex2ec440

3064896 has 84 divisors (see below), whose sum is σ = 9331452. Its totient is φ = 958464.

The previous prime is 3064883. The next prime is 3064903. The reversal of 3064896 is 6984603.

3064896 is a `hidden beast` number, since 3 + 0 + 648 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 2143296 = 960^2 + 1464^2 .

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 3064896.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9636 + ... + 9948.

Almost surely, 23064896 is an apocalyptic number.

3064896 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 3064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665726).

3064896 is an abundant number, since it is smaller than the sum of its proper divisors (6266556).

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

3064896 is a wasteful number, since it uses less digits than its factorization.

3064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3064896 is about 1750.6844375843. The cubic root of 3064896 is about 145.2575051692.

It can be divided in two parts, 306 and 4896, that multiplied together give a square (1498176 = 12242).

The spelling of 3064896 in words is "three million, sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 313 408 544 576 612 626 816 939 1088 1224 1252 1632 1878 2448 2504 2817 3264 3756 4896 5008 5321 5634 7512 9792 10016 10642 11268 15024 15963 20032 21284 22536 30048 31926 42568 45072 47889 60096 63852 85136 90144 95778 127704 170272 180288 191556 255408 340544 383112 510816 766224 1021632 1532448 3064896