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3226004376 = 2337219144379
BaseRepresentation
bin1100000001001000…
…1110101110011000
322022211022000001120
43000102032232120
523101324120001
61252040245240
7142641404400
oct30022165630
98284260046
103226004376
111405aa4921
12760470820
133c5474c3a
14228637800
1513d338236
hexc048eb98

3226004376 has 96 divisors (see below), whose sum is σ = 9875592000. Its totient is φ = 873198144.

The previous prime is 3226004363. The next prime is 3226004381. The reversal of 3226004376 is 6734006223.

It is a super-2 number, since 2×32260043762 = 20814208467942298752, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 49846 + ... + 94533.

It is an arithmetic number, because the mean of its divisors is an integer number (102870750).

Almost surely, 23226004376 is an apocalyptic number.

It is an amenable number.

3226004376 is an abundant number, since it is smaller than the sum of its proper divisors (6649587624).

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

3226004376 is a wasteful number, since it uses less digits than its factorization.

3226004376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144421 (or 144410 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 3226004376 is about 56797.9258071983. The cubic root of 3226004376 is about 1477.5935411645.

The spelling of 3226004376 in words is "three billion, two hundred twenty-six million, four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 11172 22344 144379 288758 433137 577516 866274 1010653 1155032 1732548 2021306 2743201 3031959 3465096 4042612 5486402 6063918 7074571 8085224 8229603 10972804 12127836 14149142 16459206 19202407 21223713 21945608 24255672 28298284 32918412 38404814 42447426 56596568 57607221 65836824 76809628 84894852 115214442 134416849 153619256 169789704 230428884 268833698 403250547 460857768 537667396 806501094 1075334792 1613002188 3226004376