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3426264 = 2332232069
BaseRepresentation
bin1101000100011111011000
320110001221200
431010133120
51334120024
6201234200
741060052
oct15043730
96401850
103426264
111a30226
121192960
1392c69a
146528d2
1547a2c9
hex3447d8

3426264 has 48 divisors (see below), whose sum is σ = 9687600. Its totient is φ = 1091904.

The previous prime is 3426229. The next prime is 3426277. The reversal of 3426264 is 4626243.

3426264 is a `hidden beast` number, since 34 + 2 + 626 + 4 = 666.

3426264 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 622 + ... + 2690.

It is an arithmetic number, because the mean of its divisors is an integer number (201825).

Almost surely, 23426264 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 3426264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843800).

3426264 is an abundant number, since it is smaller than the sum of its proper divisors (6261336).

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

3426264 is a wasteful number, since it uses less digits than its factorization.

3426264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2097 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3426264 is about 1851.0170177500. The cubic root of 3426264 is about 150.7556535259.

The spelling of 3426264 in words is "three million, four hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2069 4138 6207 8276 12414 16552 18621 24828 37242 47587 49656 74484 95174 142761 148968 190348 285522 380696 428283 571044 856566 1142088 1713132 3426264