Search a number
-
+
374200320 = 2113513937
BaseRepresentation
bin10110010011011…
…101100000000000
3222002010100100010
4112103131200000
51231243402240
6101044224520
712162436014
oct2623354000
9862110303
10374200320
1118225426a
12a539b140
135c6aa410
14379aa544
1522cb9280
hex164dd800

374200320 has 192 divisors, whose sum is σ = 1290612960. Its totient is φ = 92012544.

The previous prime is 374200301. The next prime is 374200357. The reversal of 374200320 is 23002473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398892 + ... + 399828.

Almost surely, 2374200320 is an apocalyptic number.

374200320 is a gapful number since it is divisible by the number (30) 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 374200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645306480).

374200320 is an abundant number, since it is smaller than the sum of its proper divisors (916412640).

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

374200320 is a wasteful number, since it uses less digits than its factorization.

374200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 374200320 is about 19344.2580627948. The cubic root of 374200320 is about 720.6118256281.

Adding to 374200320 its reverse (23002473), we get a palindrome (397202793).

The spelling of 374200320 in words is "three hundred seventy-four million, two hundred thousand, three hundred twenty".