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3243480504 = 2331127115731
BaseRepresentation
bin1100000101010011…
…1001010110111000
322101001011212210120
43001110321112320
523120312334004
61253503013240
7143243062245
oct30124712670
98331155716
103243480504
111414950a00
1276629a220
133c8c83644
1422aaa65cc
1513eb3b3d9
hexc15395b8

3243480504 has 96 divisors (see below), whose sum is σ = 9038977920. Its totient is φ = 968968000.

The previous prime is 3243480491. The next prime is 3243480517. The reversal of 3243480504 is 4050843423.

It is an interprime number because it is at equal distance from previous prime (3243480491) and next prime (3243480517).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 198319 + ... + 214049.

It is an arithmetic number, because the mean of its divisors is an integer number (94156020).

Almost surely, 23243480504 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 3243480504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519488960).

3243480504 is an abundant number, since it is smaller than the sum of its proper divisors (5795497416).

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

3243480504 is a wasteful number, since it uses less digits than its factorization.

3243480504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15833 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 3243480504 is about 56951.5627880395. The cubic root of 3243480504 is about 1480.2569105992.

The spelling of 3243480504 in words is "three billion, two hundred forty-three million, four hundred eighty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 121 132 142 213 242 264 284 363 426 484 568 726 781 852 968 1452 1562 1704 2343 2904 3124 4686 6248 8591 9372 15731 17182 18744 25773 31462 34364 47193 51546 62924 68728 94386 103092 125848 173041 188772 206184 346082 377544 519123 692164 1038246 1116901 1384328 1903451 2076492 2233802 3350703 3806902 4152984 4467604 5710353 6701406 7613804 8935208 11420706 12285911 13402812 15227608 22841412 24571822 26805624 36857733 45682824 49143644 73715466 98287288 135145021 147430932 270290042 294861864 405435063 540580084 810870126 1081160168 1621740252 3243480504