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3238009152 = 26372983077
BaseRepresentation
bin1100000100000000…
…0001100101000000
322100122212220111220
43001000001211000
523112412243102
61253145435040
7143145423630
oct30100014500
98318786456
103238009152
111411854224
1276449ba80
133c7ab9161
1422a0806c0
1513e40a1bc
hexc1001940

3238009152 has 112 divisors (see below), whose sum is σ = 10128869760. Its totient is φ = 893233152.

The previous prime is 3238009147. The next prime is 3238009183. The reversal of 3238009152 is 2519008323.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2563 + ... + 80514.

Almost surely, 23238009152 is an apocalyptic number.

3238009152 is a gapful number since it is divisible by the number (32) 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 3238009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064434880).

3238009152 is an abundant number, since it is smaller than the sum of its proper divisors (6890860608).

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

3238009152 is a wasteful number, since it uses less digits than its factorization.

3238009152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83128 (or 83118 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3238009152 is about 56903.5073787196. The cubic root of 3238009152 is about 1479.4241051320.

The spelling of 3238009152 in words is "three billion, two hundred thirty-eight million, nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 9744 12992 19488 38976 83077 166154 249231 332308 498462 581539 664616 996924 1163078 1329232 1744617 1993848 2326156 2409233 2658464 3489234 3987696 4652312 4818466 5316928 6978468 7227699 7975392 9304624 9636932 13956936 14455398 15950784 16864631 18609248 19273864 27913872 28910796 33729262 37218496 38547728 50593893 55827744 57821592 67458524 77095456 101187786 111655488 115643184 134917048 154190912 202375572 231286368 269834096 404751144 462572736 539668192 809502288 1079336384 1619004576 3238009152