Search a number
-
+
4374822312 = 2331373
BaseRepresentation
bin1000001001100001…
…00111110110101000
3102021220000000000000
410010300213312220
532424423303222
62002035343000
7213261243000
oct40460476650
912256000000
104374822312
111945522833
12a21151a60
13549488c73
142d7043000
151a91139ac
hex104c27da8

4374822312 has 224 divisors, whose sum is σ = 14348904000. Its totient is φ = 1249949232.

The previous prime is 4374822311. The next prime is 4374822337. The reversal of 4374822312 is 2132284734.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=1134.

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.

Its product of digits (64512) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (4374822311) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 624974613 + ... + 624974619.

Almost surely, 24374822312 is an apocalyptic number.

4374822312 is a gapful number since it is divisible by the number (42) 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 4374822312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174452000).

4374822312 is an abundant number, since it is smaller than the sum of its proper divisors (9974081688).

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

4374822312 is an frugal number, since it uses more digits than its factorization.

4374822312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4374822312 is about 66142.4395679506. The cubic root of 4374822312 is about 1635.5110127286.

The spelling of 4374822312 in words is "four billion, three hundred seventy-four million, eight hundred twenty-two thousand, three hundred twelve".