Search a number
-
+
331978192 = 24713217539
BaseRepresentation
bin10011110010011…
…001010111010000
3212010200020110121
4103302121113100
51134441300232
652535240024
711140524310
oct2362312720
9763606417
10331978192
11160436147
1293219014
1353a16300
1432139440
151e228d97
hex13c995d0

331978192 has 60 divisors (see below), whose sum is σ = 796035360. Its totient is φ = 131324544.

The previous prime is 331978187. The next prime is 331978201. The reversal of 331978192 is 291879133.

It is a super-2 number, since 2×3319781922 = 220419039927177728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10159 + ... + 27697.

It is an arithmetic number, because the mean of its divisors is an integer number (13267256).

Almost surely, 2331978192 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 331978192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398017680).

331978192 is an abundant number, since it is smaller than the sum of its proper divisors (464057168).

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

331978192 is a wasteful number, since it uses less digits than its factorization.

331978192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17580 (or 17561 counting only the distinct ones).

The product of its digits is 81648, while the sum is 43.

The square root of 331978192 is about 18220.2687137155. The cubic root of 331978192 is about 692.4203956510.

The spelling of 331978192 in words is "three hundred thirty-one million, nine hundred seventy-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 9464 17539 18928 35078 70156 122773 140312 228007 245546 280624 456014 491092 912028 982184 1596049 1824056 1964368 2964091 3192098 3648112 5928182 6384196 11856364 12768392 20748637 23712728 25536784 41497274 47425456 82994548 165989096 331978192