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3301484076 = 22331113919993
BaseRepresentation
bin1100010011001000…
…1010011000101100
322112002022202202000
43010302022120230
523230134442301
61303334132300
7144546103002
oct30462123054
98462282660
103301484076
111444668940
127817b1090
13407cb1997
14234684a72
15144c97786
hexc4c8a62c

3301484076 has 96 divisors (see below), whose sum is σ = 9405177600. Its totient is φ = 993202560.

The previous prime is 3301484071. The next prime is 3301484113. The reversal of 3301484076 is 6704841033.

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 3301484076.

It is not an unprimeable number, because it can be changed into a prime (3301484071) 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 31 ways as a sum of consecutive naturals, for example, 155136 + ... + 175128.

It is an arithmetic number, because the mean of its divisors is an integer number (97970600).

Almost surely, 23301484076 is an apocalyptic number.

3301484076 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 3301484076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702588800).

3301484076 is an abundant number, since it is smaller than the sum of its proper divisors (6103693524).

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

3301484076 is a wasteful number, since it uses less digits than its factorization.

3301484076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20156 (or 20148 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3301484076 is about 57458.5422369903. The cubic root of 3301484076 is about 1489.0287013835.

The spelling of 3301484076 in words is "three billion, three hundred one million, four hundred eighty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 139 198 278 297 396 417 556 594 834 1188 1251 1529 1668 2502 3058 3753 4587 5004 6116 7506 9174 13761 15012 18348 19993 27522 39986 41283 55044 59979 79972 82566 119958 165132 179937 219923 239916 359874 439846 539811 659769 719748 879692 1079622 1319538 1979307 2159244 2639076 2779027 3958614 5558054 5937921 7917228 8337081 11116108 11875842 16674162 23751684 25011243 30569297 33348324 50022486 61138594 75033729 91707891 100044972 122277188 150067458 183415782 275123673 300134916 366831564 550247346 825371019 1100494692 1650742038 3301484076