Search a number
-
+
331213104 = 24331674591
BaseRepresentation
bin10011101111011…
…110100100110000
3212002020100222000
4103233132210300
51134242304404
652511014000
711131156605
oct2357364460
9762210860
10331213104
1115aa63342
1292b0a300
1353808cb1
1431dba6ac
151e127339
hex13bde930

331213104 has 80 divisors (see below), whose sum is σ = 956605440. Its totient is φ = 109719360.

The previous prime is 331213097. The next prime is 331213117. The reversal of 331213104 is 401312133.

331213104 is a `hidden beast` number, since 331 + 21 + 310 + 4 = 666.

It is a super-2 number, since 2×3312131042 = 219404240522629632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69849 + ... + 74439.

It is an arithmetic number, because the mean of its divisors is an integer number (11957568).

Almost surely, 2331213104 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 331213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478302720).

331213104 is an abundant number, since it is smaller than the sum of its proper divisors (625392336).

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

331213104 is a wasteful number, since it uses less digits than its factorization.

331213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331213104 is about 18199.2610839012. The cubic root of 331213104 is about 691.8880614598. Note that the first 3 decimals are identical.

Adding to 331213104 its reverse (401312133), we get a palindrome (732525237).

The spelling of 331213104 in words is "three hundred thirty-one million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 334 432 501 668 1002 1336 1503 2004 2672 3006 4008 4509 4591 6012 8016 9018 9182 12024 13773 18036 18364 24048 27546 36072 36728 41319 55092 72144 73456 82638 110184 123957 165276 220368 247914 330552 495828 661104 766697 991656 1533394 1983312 2300091 3066788 4600182 6133576 6900273 9200364 12267152 13800546 18400728 20700819 27601092 36801456 41401638 55202184 82803276 110404368 165606552 331213104