Search a number
-
+
3493228032 = 293672191
BaseRepresentation
bin1101000000110110…
…0110111000000000
3100000110010101000000
43100031212320000
524123231244112
61334344000000
7152364643200
oct32015467000
910013111000
103493228032
111532921a18
12815a60000
13438938148
14251d18400
15156a207dc
hexd0366e00

3493228032 has 420 divisors, whose sum is σ = 12236913216. Its totient is φ = 992839680.

The previous prime is 3493228001. The next prime is 3493228073. The reversal of 3493228032 is 2308223943.

3493228032 is a `hidden beast` number, since 349 + 3 + 2 + 280 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18289057 + ... + 18289247.

Almost surely, 23493228032 is an apocalyptic number.

3493228032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3493228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118456608).

3493228032 is an abundant number, since it is smaller than the sum of its proper divisors (8743685184).

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

3493228032 is an frugal number, since it uses more digits than its factorization.

3493228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3493228032 is about 59103.5365439328. The cubic root of 3493228032 is about 1517.3146306924.

The spelling of 3493228032 in words is "three billion, four hundred ninety-three million, two hundred twenty-eight thousand, thirty-two".