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3305152368 = 2432711329017
BaseRepresentation
bin1100010100000000…
…1001111101110000
322112100020010200200
43011000021331300
523232104333433
61303544515200
7144622221510
oct30500117560
98470203620
103305152368
111446743991
12782a7bb00
1340899757b
14234d5b840
1514526e613
hexc5009f70

3305152368 has 120 divisors (see below), whose sum is σ = 10665159648. Its totient is φ = 935940096.

The previous prime is 3305152349. The next prime is 3305152421. The reversal of 3305152368 is 8632515033.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 99396 + ... + 128412.

Almost surely, 23305152368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305152368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332579824).

3305152368 is an abundant number, since it is smaller than the sum of its proper divisors (7360007280).

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

3305152368 is a wasteful number, since it uses less digits than its factorization.

3305152368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29151 (or 29142 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3305152368 is about 57490.4545816086. The cubic root of 3305152368 is about 1489.5799858134.

The spelling of 3305152368 in words is "three billion, three hundred five million, one hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 336 339 452 504 678 791 904 1008 1017 1356 1582 1808 2034 2373 2712 3164 4068 4746 5424 6328 7119 8136 9492 12656 14238 16272 18984 28476 29017 37968 56952 58034 87051 113904 116068 174102 203119 232136 261153 348204 406238 464272 522306 609357 696408 812476 1044612 1218714 1392816 1624952 1828071 2089224 2437428 3249904 3278921 3656142 4178448 4874856 6557842 7312284 9749712 9836763 13115684 14624568 19673526 22952447 26231368 29249136 29510289 39347052 45904894 52462736 59020578 68857341 78694104 91809788 118041156 137714682 157388208 183619576 206572023 236082312 275429364 367239152 413144046 472164624 550858728 826288092 1101717456 1652576184 3305152368