Search a number
-
+
3254544640 = 28511322501
BaseRepresentation
bin1100000111111100…
…0110100100000000
322101210222222221101
43001333012210000
523131130412030
61254540104144
7143436113224
oct30177064400
98353888841
103254544640
111420118616
12769b35054
133cb358679
1422c346784
15140ac47ca
hexc1fc6900

3254544640 has 72 divisors (see below), whose sum is σ = 7864989048. Its totient is φ = 1290240000.

The previous prime is 3254544589. The next prime is 3254544653. The reversal of 3254544640 is 464454523.

It can be written as a sum of positive squares in 4 ways, for example, as 451477504 + 2803067136 = 21248^2 + 52944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3254544640.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 133390 + ... + 155890.

It is an arithmetic number, because the mean of its divisors is an integer number (109235959).

Almost surely, 23254544640 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 3254544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932494524).

3254544640 is an abundant number, since it is smaller than the sum of its proper divisors (4610444408).

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

3254544640 is a wasteful number, since it uses less digits than its factorization.

3254544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22635 (or 22621 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

The square root of 3254544640 is about 57048.6164599984. The cubic root of 3254544640 is about 1481.9381474061.

The spelling of 3254544640 in words is "three billion, two hundred fifty-four million, five hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 565 640 904 1130 1280 1808 2260 3616 4520 7232 9040 14464 18080 22501 28928 36160 45002 72320 90004 112505 144640 180008 225010 360016 450020 720032 900040 1440064 1800080 2542613 2880128 3600160 5085226 5760256 7200320 10170452 12713065 14400640 20340904 25426130 28801280 40681808 50852260 81363616 101704520 162727232 203409040 325454464 406818080 650908928 813636160 1627272320 3254544640