Search a number
-
+
331642256 = 241117199557
BaseRepresentation
bin10011110001000…
…111010110010000
3212010001011122112
4103301013112100
51134400023011
652524124452
711134625021
oct2361072620
9763034575
10331642256
11160226810
1293096728
135392942a
143208cc48
151e1ae58b
hex13c47590

331642256 has 80 divisors (see below), whose sum is σ = 747273600. Its totient is φ = 140912640.

The previous prime is 331642217. The next prime is 331642291. The reversal of 331642256 is 652246133.

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 15 ways as a sum of consecutive naturals, for example, 595130 + ... + 595686.

It is an arithmetic number, because the mean of its divisors is an integer number (9340920).

Almost surely, 2331642256 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 331642256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373636800).

331642256 is an abundant number, since it is smaller than the sum of its proper divisors (415631344).

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

331642256 is a wasteful number, since it uses less digits than its factorization.

331642256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 331642256 is about 18211.0476359818. The cubic root of 331642256 is about 692.1867583735.

Adding to 331642256 its reverse (652246133), we get a palindrome (983888389).

The spelling of 331642256 in words is "three hundred thirty-one million, six hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 199 272 374 398 557 748 796 1114 1496 1592 2189 2228 2992 3184 3383 4378 4456 6127 6766 8756 8912 9469 12254 13532 17512 18938 24508 27064 35024 37213 37876 49016 54128 74426 75752 98032 104159 110843 148852 151504 208318 221686 297704 416636 443372 595408 833272 886744 1219273 1666544 1773488 1884331 2438546 3768662 4877092 7537324 9754184 15074648 19508368 20727641 30149296 41455282 82910564 165821128 331642256