Search a number
-
+
374363136 = 2103272829
BaseRepresentation
bin10110010100000…
…101010000000000
3222002102121200100
4112110011100000
51231314110021
6101051522400
712164014500
oct2624052000
9862377610
10374363136
11182355624
12a5459400
135c736564
1437a0da00
1522cec626
hex16505400

374363136 has 198 divisors, whose sum is σ = 1258966410. Its totient is φ = 106831872.

The previous prime is 374363113. The next prime is 374363141. The reversal of 374363136 is 631363473.

It can be written as a sum of positive squares in only one way, i.e., 329204736 + 45158400 = 18144^2 + 6720^2 .

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 self number, because there is not a number n which added to its sum of digits gives 374363136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451170 + ... + 451998.

Almost surely, 2374363136 is an apocalyptic number.

374363136 is a gapful number since it is divisible by the number (36) 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 374363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629483205).

374363136 is an abundant number, since it is smaller than the sum of its proper divisors (884603274).

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

374363136 is a wasteful number, since it uses less digits than its factorization.

374363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 841 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The square root of 374363136 is about 19348.4659857054. The cubic root of 374363136 is about 720.7163241337.

The spelling of 374363136 in words is "three hundred seventy-four million, three hundred sixty-three thousand, one hundred thirty-six".