Search a number
-
+
398297088 = 2113474
BaseRepresentation
bin10111101111011…
…000100000000000
31000202110120220000
4113233120200000
51303431001323
6103304520000
712604320000
oct2757304000
91022416800
10398297088
11194912552
12b1480000
1364696467
143ac80000
1524e78e43
hex17bd8800

398297088 has 300 divisors, whose sum is σ = 1387881495. Its totient is φ = 113799168.

The previous prime is 398297087. The next prime is 398297093. The reversal of 398297088 is 880792893.

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 can be written as a sum of positive squares in only one way, i.e., 199148544 + 199148544 = 14112^2 + 14112^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14112.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (398297087) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 56899581 + ... + 56899587.

Almost surely, 2398297088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398297088

398297088 is an abundant number, since it is smaller than the sum of its proper divisors (989584407).

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

398297088 is an frugal number, since it uses more digits than its factorization.

398297088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 398297088 is about 19957.3817922091. The cubic root of 398297088 is about 735.7592155012.

The spelling of 398297088 in words is "three hundred ninety-eight million, two hundred ninety-seven thousand, eighty-eight".