Search a number
-
+
329941224 = 23324582517
BaseRepresentation
bin10011101010101…
…000000011101000
3211222211202021100
4103222220003220
51133431104344
652423441400
711114311524
oct2352500350
9758752240
10329941224
1115a2747a8
12925b6260
13534820c2
1431b68d84
151de75569
hex13aa80e8

329941224 has 24 divisors (see below), whose sum is σ = 893591010. Its totient is φ = 109980384.

The previous prime is 329941223. The next prime is 329941259. The reversal of 329941224 is 422149923.

It can be written as a sum of positive squares in only one way, i.e., 190937124 + 139004100 = 13818^2 + 11790^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3299412242 = 217722422589236352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (329941223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2291187 + ... + 2291330.

Almost surely, 2329941224 is an apocalyptic number.

It is an amenable number.

329941224 is an abundant number, since it is smaller than the sum of its proper divisors (563649786).

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

329941224 is a wasteful number, since it uses less digits than its factorization.

329941224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582529 (or 4582522 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 329941224 is about 18164.2842963878. The cubic root of 329941224 is about 691.0012935918.

The spelling of 329941224 in words is "three hundred twenty-nine million, nine hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4582517 9165034 13747551 18330068 27495102 36660136 41242653 54990204 82485306 109980408 164970612 329941224