Search a number
-
+
374274432 = 27377191
BaseRepresentation
bin10110010011101…
…111100110000000
3222002021010000000
4112103233212000
51231303240212
6101050000000
712163165050
oct2623574600
9862233000
10374274432
111822a4a14
12a5416000
135c70507c
14379c9560
1522cd11dc
hex164ef980

374274432 has 256 divisors, whose sum is σ = 1284710400. Its totient is φ = 106375680.

The previous prime is 374274427. The next prime is 374274443. The reversal of 374274432 is 234472473.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959457 + ... + 1959647.

It is an arithmetic number, because the mean of its divisors is an integer number (5018400).

Almost surely, 2374274432 is an apocalyptic number.

374274432 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 374274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642355200).

374274432 is an abundant number, since it is smaller than the sum of its proper divisors (910435968).

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

374274432 is an frugal number, since it uses more digits than its factorization.

374274432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 374274432 is about 19346.1735751543. The cubic root of 374274432 is about 720.6593959226.

The spelling of 374274432 in words is "three hundred seventy-four million, two hundred seventy-four thousand, four hundred thirty-two".