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3289934484 = 2232894392339
BaseRepresentation
bin1100010000011000…
…0110101010010100
322111021120222200100
43010012012222110
523214210400414
61302242414100
7144345660504
oct30406065224
98437528610
103289934484
11143909a521
12779961330
134057999c5
14232d19a04
15143c65609
hexc4186a94

3289934484 has 72 divisors (see below), whose sum is σ = 8432424000. Its totient is φ = 1081390464.

The previous prime is 3289934477. The next prime is 3289934491. The reversal of 3289934484 is 4844399823.

3289934484 is a `hidden beast` number, since 32 + 89 + 93 + 448 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3289934477) and next prime (3289934491).

It is a self number, because there is not a number n which added to its sum of digits gives 3289934484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1405387 + ... + 1407725.

It is an arithmetic number, because the mean of its divisors is an integer number (117117000).

Almost surely, 23289934484 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 3289934484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216212000).

3289934484 is an abundant number, since it is smaller than the sum of its proper divisors (5142489516).

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

3289934484 is a wasteful number, since it uses less digits than its factorization.

3289934484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2872 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3289934484 is about 57357.9504863973. The cubic root of 3289934484 is about 1487.2903147597.

The spelling of 3289934484 in words is "three billion, two hundred eighty-nine million, nine hundred thirty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 439 534 801 878 1068 1317 1602 1756 2339 2634 3204 3951 4678 5268 7017 7902 9356 14034 15804 21051 28068 39071 42102 78142 84204 117213 156284 208171 234426 351639 416342 468852 624513 703278 832684 1026821 1249026 1406556 1873539 2053642 2498052 3080463 3747078 4107284 6160926 7494156 9241389 12321852 18482778 36965556 91387069 182774138 274161207 365548276 548322414 822483621 1096644828 1644967242 3289934484