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3332530240 = 26513899001
BaseRepresentation
bin1100011010100010…
…0110000001000000
322121020202002001221
43012220212001000
523311111431430
61310403404424
7145404016414
oct30650460100
98536662057
103332530240
111460143326
12790083714
13411561bb0
14238846d44
1514787b57a
hexc6a26040

3332530240 has 112 divisors (see below), whose sum is σ = 8643000240. Its totient is φ = 1216512000.

The previous prime is 3332530211. The next prime is 3332530241. The reversal of 3332530240 is 420352333.

It can be written as a sum of positive squares in 8 ways, for example, as 1084253184 + 2248277056 = 32928^2 + 47416^2 .

It is a super-2 number, since 2×33325302402 = 22211515601028915200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3332530241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365740 + ... + 374740.

It is an arithmetic number, because the mean of its divisors is an integer number (77169645).

Almost surely, 23332530240 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 3332530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321500120).

3332530240 is an abundant number, since it is smaller than the sum of its proper divisors (5310470000).

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

3332530240 is a wasteful number, since it uses less digits than its factorization.

3332530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9110 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The square root of 3332530240 is about 57728.0715077162. The cubic root of 3332530240 is about 1493.6816063408.

Adding to 3332530240 its reverse (420352333), we get a palindrome (3752882573).

The spelling of 3332530240 in words is "three billion, three hundred thirty-two million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 89 104 130 160 178 208 260 320 356 416 445 520 712 832 890 1040 1157 1424 1780 2080 2314 2848 3560 4160 4628 5696 5785 7120 9001 9256 11570 14240 18002 18512 23140 28480 36004 37024 45005 46280 72008 74048 90010 92560 117013 144016 180020 185120 234026 288032 360040 370240 468052 576064 585065 720080 801089 936104 1170130 1440160 1602178 1872208 2340260 2880320 3204356 3744416 4005445 4680520 6408712 7488832 8010890 9361040 10414157 12817424 16021780 18722080 20828314 25634848 32043560 37444160 41656628 51269696 52070785 64087120 83313256 104141570 128174240 166626512 208283140 256348480 333253024 416566280 666506048 833132560 1666265120 3332530240