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2930664 = 2331117653
BaseRepresentation
bin1011001011011111101000
312111220010010
423023133220
51222240124
6142451520
733624132
oct13133750
95456103
102930664
111721940
12b93ba0
137b7c29
14564052
153cd529
hex2cb7e8

2930664 has 64 divisors (see below), whose sum is σ = 8475840. Its totient is φ = 834560.

The previous prime is 2930657. The next prime is 2930689. The reversal of 2930664 is 4660392.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4162 + ... + 4814.

It is an arithmetic number, because the mean of its divisors is an integer number (132435).

22930664 is an apocalyptic number.

2930664 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 2930664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237920).

2930664 is an abundant number, since it is smaller than the sum of its proper divisors (5545176).

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

2930664 is a wasteful number, since it uses less digits than its factorization.

2930664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2930664 is about 1711.9182223459. The cubic root of 2930664 is about 143.1051763446.

The spelling of 2930664 in words is "two million, nine hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 653 748 1122 1306 1496 1959 2244 2612 3918 4488 5224 7183 7836 11101 14366 15672 21549 22202 28732 33303 43098 44404 57464 66606 86196 88808 122111 133212 172392 244222 266424 366333 488444 732666 976888 1465332 2930664