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3356628 = 2231159431
BaseRepresentation
bin1100110011011111010100
320022112102120
430303133110
51324403003
6155535540
740350042
oct14633724
96275376
103356628
111992980
12115a5b0
13906a92
14635392
15464853
hex3337d4

3356628 has 48 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 997600.

The previous prime is 3356593. The next prime is 3356641. The reversal of 3356628 is 8266533.

It is a super-2 number, since 2×33566282 = 22533903060768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7573 + ... + 8003.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 23356628 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 3356628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3356628 is an abundant number, since it is smaller than the sum of its proper divisors (5352492).

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

3356628 is a wasteful number, since it uses less digits than its factorization.

3356628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 3356628 is about 1832.1102586908. The cubic root of 3356628 is about 149.7273268516.

The spelling of 3356628 in words is "three million, three hundred fifty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 431 649 708 862 1293 1298 1724 1947 2586 2596 3894 4741 5172 7788 9482 14223 18964 25429 28446 50858 56892 76287 101716 152574 279719 305148 559438 839157 1118876 1678314 3356628