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3357396 = 223374441
BaseRepresentation
bin1100110011101011010100
320022120111000
430303223110
51324414041
6155543300
740352220
oct14635324
96276430
103357396
111993509
12115ab30
13907233
14635780
15464bb6
hex333ad4

3357396 has 48 divisors (see below), whose sum is σ = 9950080. Its totient is φ = 959040.

The previous prime is 3357353. The next prime is 3357407. The reversal of 3357396 is 6937533.

It is a super-3 number, since 3×33573963 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3 + 312 + 59 + 74 + 312 + 95 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 3357396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465 + ... + 2976.

Almost surely, 23357396 is an apocalyptic number.

3357396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3357396 is an abundant number, since it is smaller than the sum of its proper divisors (6592684).

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

3357396 is a wasteful number, since it uses less digits than its factorization.

3357396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4453 counting only the distinct ones).

The product of its digits is 51030, while the sum is 36.

The square root of 3357396 is about 1832.3198410758. The cubic root of 3357396 is about 149.7387452372.

The spelling of 3357396 in words is "three million, three hundred fifty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 4441 8882 13323 17764 26646 31087 39969 53292 62174 79938 93261 119907 124348 159876 186522 239814 279783 373044 479628 559566 839349 1119132 1678698 3357396