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2924064 = 2532111371
BaseRepresentation
bin1011001001111000100000
312111120001200
423021320200
51222032224
6142401200
733565653
oct13117040
95446050
102924064
111717990
12b90200
137b4c20
1456189a
153cb5c9
hex2c9e20

2924064 has 144 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 806400.

The previous prime is 2924029. The next prime is 2924069. The reversal of 2924064 is 4604292.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2924069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41149 + ... + 41219.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

22924064 is an apocalyptic number.

2924064 is a gapful number since it is divisible by the number (24) 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 2924064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

2924064 is an abundant number, since it is smaller than the sum of its proper divisors (6982560).

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

2924064 is a wasteful number, since it uses less digits than its factorization.

2924064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2924064 is about 1709.9894736518. The cubic root of 2924064 is about 142.9976689597.

It can be divided in two parts, 292 and 4064, that added together give a square (4356 = 662).

The spelling of 2924064 in words is "two million, nine hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 71 72 78 88 96 99 104 117 132 142 143 144 156 176 198 208 213 234 264 284 286 288 312 352 396 416 426 429 468 528 568 572 624 639 781 792 852 858 923 936 1056 1136 1144 1248 1278 1287 1562 1584 1704 1716 1846 1872 2272 2288 2343 2556 2574 2769 3124 3168 3408 3432 3692 3744 4576 4686 5112 5148 5538 6248 6816 6864 7029 7384 8307 9372 10153 10224 10296 11076 12496 13728 14058 14768 16614 18744 20306 20448 20592 22152 24992 28116 29536 30459 33228 37488 40612 41184 44304 56232 60918 66456 74976 81224 88608 91377 112464 121836 132912 162448 182754 224928 243672 265824 324896 365508 487344 731016 974688 1462032 2924064