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2904064 = 212709
BaseRepresentation
bin1011000101000000000000
312110112121221
423011000000
51220412224
6142124424
733453442
oct13050000
95415557
102904064
111703959
12b80714
137a8aa7
14558492
153c56e4
hex2c5000

2904064 has 26 divisors (see below), whose sum is σ = 5815610. Its totient is φ = 1449984.

The previous prime is 2904061. The next prime is 2904067. The reversal of 2904064 is 4604092.

It is an interprime number because it is at equal distance from previous prime (2904061) and next prime (2904067).

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 921600 = 1408^2 + 960^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2904061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3742 + ... + 4450.

22904064 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 2904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907805).

2904064 is an abundant number, since it is smaller than the sum of its proper divisors (2911546).

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

2904064 is an frugal number, since it uses more digits than its factorization.

2904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2904064 is about 1704.1314503289. The cubic root of 2904064 is about 142.6708978666.

The spelling of 2904064 in words is "two million, nine hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 709 1024 1418 2048 2836 4096 5672 11344 22688 45376 90752 181504 363008 726016 1452032 2904064