Search a number
-
+
374008320 = 293357773
BaseRepresentation
bin10110010010101…
…110101000000000
3222001202120222000
4112102232220000
51231221231240
6101040144000
712161006160
oct2622565000
9861676860
10374008320
11182132a94
12a5308000
135c640bca
143795a5a0
1522c7c430
hex164aea00

374008320 has 320 divisors, whose sum is σ = 1520259840. Its totient is φ = 85377024.

The previous prime is 374008319. The next prime is 374008337. The reversal of 374008320 is 23800473.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 483454 + ... + 484226.

It is an arithmetic number, because the mean of its divisors is an integer number (4750812).

Almost surely, 2374008320 is an apocalyptic number.

374008320 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 374008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760129920).

374008320 is an abundant number, since it is smaller than the sum of its proper divisors (1146251520).

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

374008320 is an equidigital number, since it uses as much as digits as its factorization.

374008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 374008320 is about 19339.2947130964. The cubic root of 374008320 is about 720.4885573025.

Adding to 374008320 its reverse (23800473), we get a palindrome (397808793).

The spelling of 374008320 in words is "three hundred seventy-four million, eight thousand, three hundred twenty".