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3393472 = 26173119
BaseRepresentation
bin1100111100011111000000
320101101222011
430330133000
51332042342
6200422304
740562335
oct14743700
96341864
103393472
111a08625
121177994
1391a794
1464498c
15470717
hex33c7c0

3393472 has 28 divisors (see below), whose sum is σ = 7132320. Its totient is φ = 1596416.

The previous prime is 3393469. The next prime is 3393479. The reversal of 3393472 is 2743933.

3393472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3393479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 472 + ... + 2647.

Almost surely, 23393472 is an apocalyptic number.

3393472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3393472 is an abundant number, since it is smaller than the sum of its proper divisors (3738848).

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

3393472 is a wasteful number, since it uses less digits than its factorization.

3393472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3138 counting only the distinct ones).

The product of its digits is 13608, while the sum is 31.

The square root of 3393472 is about 1842.1378884329. The cubic root of 3393472 is about 150.2731615092.

It can be divided in two parts, 3 and 393472, that multiplied together give a triangular number (1180416 = T1536).

The spelling of 3393472 in words is "three million, three hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 3119 6238 12476 24952 49904 53023 99808 106046 199616 212092 424184 848368 1696736 3393472