Search a number
-
+
331661232 = 243271512179
BaseRepresentation
bin10011110001001…
…011111110110000
3212010002010200100
4103301023332300
51134401124412
652524352400
711135034240
oct2361137660
9763063610
10331661232
11160239aa1
12930a5700
1353934c66
1432095b20
151e1b4edc
hex13c4bfb0

331661232 has 120 divisors (see below), whose sum is σ = 1068304640. Its totient is φ = 94089600.

The previous prime is 331661191. The next prime is 331661233. The reversal of 331661232 is 232166133.

It is a happy number.

331661232 is a `hidden beast` number, since 3 + 3 + 16 + 612 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 331661196 and 331661205.

It is not an unprimeable number, because it can be changed into a prime (331661233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151119 + ... + 153297.

Almost surely, 2331661232 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 331661232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534152320).

331661232 is an abundant number, since it is smaller than the sum of its proper divisors (736643408).

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

331661232 is a wasteful number, since it uses less digits than its factorization.

331661232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2342 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 331661232 is about 18211.5686309554. The cubic root of 331661232 is about 692.1999600340.

The spelling of 331661232 in words is "three hundred thirty-one million, six hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 151 168 252 302 336 453 504 604 906 1008 1057 1208 1359 1812 2114 2179 2416 2718 3171 3624 4228 4358 5436 6342 6537 7248 8456 8716 9513 10872 12684 13074 15253 16912 17432 19026 19611 21744 25368 26148 30506 34864 38052 39222 45759 50736 52296 61012 76104 78444 91518 104592 122024 137277 152208 156888 183036 244048 274554 313776 329029 366072 549108 658058 732144 987087 1098216 1316116 1974174 2196432 2303203 2632232 2961261 3948348 4606406 5264464 5922522 6909609 7896696 9212812 11845044 13819218 15793392 18425624 20728827 23690088 27638436 36851248 41457654 47380176 55276872 82915308 110553744 165830616 331661232