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3364632 = 233337421
BaseRepresentation
bin1100110101011100011000
320022221102000
430311130120
51330132012
6200041000
740412265
oct14653430
96287360
103364632
111998997
121163160
1390a60b
1463826c
15466ddc
hex335718

3364632 has 64 divisors (see below), whose sum is σ = 9621600. Its totient is φ = 1088640.

The previous prime is 3364607. The next prime is 3364633. The reversal of 3364632 is 2364633.

3364632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33646322 = 22641496990848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 3364596 and 3364605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364633) 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 15 ways as a sum of consecutive naturals, for example, 7782 + ... + 8202.

Almost surely, 23364632 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 3364632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810800).

3364632 is an abundant number, since it is smaller than the sum of its proper divisors (6256968).

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

3364632 is a wasteful number, since it uses less digits than its factorization.

3364632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3364632 is about 1834.2933244168. The cubic root of 3364632 is about 149.8462424446.

Subtracting from 3364632 its reverse (2364633), we obtain a palindrome (999999).

The spelling of 3364632 in words is "three million, three hundred sixty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 421 444 666 842 888 999 1263 1332 1684 1998 2526 2664 3368 3789 3996 5052 7578 7992 10104 11367 15156 15577 22734 30312 31154 45468 46731 62308 90936 93462 124616 140193 186924 280386 373848 420579 560772 841158 1121544 1682316 3364632