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3090432 = 2113503
BaseRepresentation
bin1011110010100000000000
312211000021110
423302200000
51242343212
6150123320
735161002
oct13624000
95730243
103090432
111820984
121050540
13842877
145a6372
15410a3c
hex2f2800

3090432 has 48 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 1028096.

The previous prime is 3090431. The next prime is 3090449. The reversal of 3090432 is 2340903.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3090399 and 3090408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3090431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5893 + ... + 6395.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 23090432 is an apocalyptic number.

3090432 is a gapful number since it is divisible by the number (32) 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 3090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

3090432 is an abundant number, since it is smaller than the sum of its proper divisors (5165088).

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

3090432 is an equidigital number, since it uses as much as digits as its factorization.

3090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3090432 is about 1757.9624569370. The cubic root of 3090432 is about 145.6598071734.

The spelling of 3090432 in words is "three million, ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 503 512 768 1006 1024 1509 1536 2012 2048 3018 3072 4024 6036 6144 8048 12072 16096 24144 32192 48288 64384 96576 128768 193152 257536 386304 515072 772608 1030144 1545216 3090432