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3504996 = 22321153167
BaseRepresentation
bin1101010111101101100100
320121001221200
431113231210
51344124441
6203042500
741535435
oct15275544
96531850
103504996
111a843a0
121210430
13959481
1467348c
154937b6
hex357b64

3504996 has 72 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 1035840.

The previous prime is 3504979. The next prime is 3504997. The reversal of 3504996 is 6994053.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3504996.

It is not an unprimeable number, because it can be changed into a prime (3504997) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20905 + ... + 21071.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 23504996 is an apocalyptic number.

3504996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3504996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3504996 is an abundant number, since it is smaller than the sum of its proper divisors (6401628).

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

3504996 is a wasteful number, since it uses less digits than its factorization.

3504996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3504996 is about 1872.1634544024. The cubic root of 3504996 is about 151.9016561453.

The spelling of 3504996 in words is "three million, five hundred four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 167 198 212 318 334 396 477 501 583 636 668 954 1002 1166 1503 1749 1837 1908 2004 2332 3006 3498 3674 5247 5511 6012 6996 7348 8851 10494 11022 16533 17702 20988 22044 26553 33066 35404 53106 66132 79659 97361 106212 159318 194722 292083 318636 389444 584166 876249 1168332 1752498 3504996