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3005496 = 233213319
BaseRepresentation
bin1011011101110000111000
312122200202200
423131300320
51232133441
6144230200
734355244
oct13356070
95580680
103005496
11177308a
12100b360
13813000
14583424
153e57b6
hex2ddc38

3005496 has 96 divisors (see below), whose sum is σ = 9282000. Its totient is φ = 876096.

The previous prime is 3005491. The next prime is 3005503. The reversal of 3005496 is 6945003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158175 + ... + 158193.

Almost surely, 23005496 is an apocalyptic number.

3005496 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 3005496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641000).

3005496 is an abundant number, since it is smaller than the sum of its proper divisors (6276504).

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

3005496 is a wasteful number, since it uses less digits than its factorization.

3005496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3005496 is about 1733.6366401296. The cubic root of 3005496 is about 144.3129766757.

The spelling of 3005496 in words is "three million, five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 169 171 228 234 247 312 338 342 456 468 494 507 676 684 741 936 988 1014 1352 1368 1482 1521 1976 2028 2197 2223 2964 3042 3211 4056 4394 4446 5928 6084 6422 6591 8788 8892 9633 12168 12844 13182 17576 17784 19266 19773 25688 26364 28899 38532 39546 41743 52728 57798 77064 79092 83486 115596 125229 158184 166972 231192 250458 333944 375687 500916 751374 1001832 1502748 3005496