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3072608 = 257112943
BaseRepresentation
bin1011101110001001100000
312210002211022
423232021200
51241310413
6145505012
735055020
oct13561140
95702738
103072608
111809550
121042168
13837716
1459da80
1540a608
hex2ee260

3072608 has 96 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 1128960.

The previous prime is 3072607. The next prime is 3072611. The reversal of 3072608 is 8062703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3072607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71435 + ... + 71477.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

Almost surely, 23072608 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 3072608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

3072608 is an abundant number, since it is smaller than the sum of its proper divisors (4910752).

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

3072608 is a wasteful number, since it uses less digits than its factorization.

3072608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 3072608 is about 1752.8856209120. The cubic root of 3072608 is about 145.3792371526.

The spelling of 3072608 in words is "three million, seventy-two thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 43 44 56 58 77 86 88 112 116 154 172 176 203 224 232 301 308 319 344 352 406 464 473 602 616 638 688 812 928 946 1204 1232 1247 1276 1376 1624 1892 2233 2408 2464 2494 2552 3248 3311 3784 4466 4816 4988 5104 6496 6622 7568 8729 8932 9632 9976 10208 13244 13717 15136 17458 17864 19952 26488 27434 34916 35728 39904 52976 54868 69832 71456 96019 105952 109736 139664 192038 219472 279328 384076 438944 768152 1536304 3072608