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3368064 = 27372179
BaseRepresentation
bin1100110110010010000000
320100010010010
430312102000
51330234224
6200104520
740425300
oct14662200
96303103
103368064
1119a0527
121165140
1390c04b
14639600
15467e29
hex336480

3368064 has 96 divisors (see below), whose sum is σ = 10465200. Its totient is φ = 956928.

The previous prime is 3368059. The next prime is 3368077. The reversal of 3368064 is 4608633.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33680642 = 22687710216192, which contains 22 as substring.

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, 18727 + ... + 18905.

Almost surely, 23368064 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 3368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232600).

3368064 is an abundant number, since it is smaller than the sum of its proper divisors (7097136).

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

3368064 is a wasteful number, since it uses less digits than its factorization.

3368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3368064 is about 1835.2285961155. The cubic root of 3368064 is about 149.8971739726.

The spelling of 3368064 in words is "three million, three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 179 192 196 224 294 336 358 384 392 448 537 588 672 716 784 896 1074 1176 1253 1344 1432 1568 2148 2352 2506 2688 2864 3136 3759 4296 4704 5012 5728 6272 7518 8592 8771 9408 10024 11456 15036 17184 17542 18816 20048 22912 26313 30072 34368 35084 40096 52626 60144 68736 70168 80192 105252 120288 140336 160384 210504 240576 280672 421008 481152 561344 842016 1122688 1684032 3368064