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3352364540 = 2257232574051
BaseRepresentation
bin1100011111010001…
…0000010111111100
322122122001202121122
43013310100113330
523331201131130
61312352450112
7146034425360
oct30764202774
98578052548
103352364540
111470360108
12796849938
134156b7a75
1423b32b2a0
151494982e5
hexc7d105fc

3352364540 has 96 divisors (see below), whose sum is σ = 8430234624. Its totient is φ = 1094860800.

The previous prime is 3352364537. The next prime is 3352364557. The reversal of 3352364540 is 454632533.

It is a super-2 number, since 2×33523645402 = 22476696018098823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3352364540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825515 + ... + 829565.

It is an arithmetic number, because the mean of its divisors is an integer number (87814944).

Almost surely, 23352364540 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 3352364540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215117312).

3352364540 is an abundant number, since it is smaller than the sum of its proper divisors (5077870084).

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

3352364540 is a wasteful number, since it uses less digits than its factorization.

3352364540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

The square root of 3352364540 is about 57899.6074252667. The cubic root of 3352364540 is about 1496.6390735920.

The spelling of 3352364540 in words is "three billion, three hundred fifty-two million, three hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 257 322 460 514 644 805 1028 1285 1610 1799 2570 3220 3598 4051 5140 5911 7196 8102 8995 11822 16204 17990 20255 23644 28357 29555 35980 40510 41377 56714 59110 81020 82754 93173 113428 118220 141785 165508 186346 206885 283570 372692 413770 465865 567140 652211 827540 931730 1041107 1304422 1863460 2082214 2608844 3261055 4164428 5205535 6522110 7287749 10411070 13044220 14575498 20822140 23945461 29150996 36438745 47890922 72877490 95781844 119727305 145754980 167618227 239454610 335236454 478909220 670472908 838091135 1676182270 3352364540