Search a number
-
+
374250240 = 28335721317
BaseRepresentation
bin10110010011101…
…001101100000000
3222002012212211000
4112103221230000
51231302001430
6101045252000
712163034400
oct2623515400
9862185730
10374250240
11182288821
12a5404000
135c6c7060
14379c0800
1522cc8e60
hex164e9b00

374250240 has 864 divisors, whose sum is σ = 1761600960. Its totient is φ = 74317824.

The previous prime is 374250229. The next prime is 374250241. The reversal of 374250240 is 42052473.

374250240 is a `hidden beast` number, since 374 + 2 + 50 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (374250241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22014712 + ... + 22014728.

It is an arithmetic number, because the mean of its divisors is an integer number (2038890).

Almost surely, 2374250240 is an apocalyptic number.

374250240 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 374250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880800480).

374250240 is an abundant number, since it is smaller than the sum of its proper divisors (1387350720).

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

374250240 is a wasteful number, since it uses less digits than its factorization.

374250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 374250240 is about 19345.5483251315. The cubic root of 374250240 is about 720.6438684858.

The spelling of 374250240 in words is "three hundred seventy-four million, two hundred fifty thousand, two hundred forty".