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398269872 = 243471113307
BaseRepresentation
bin10111101111010…
…001110110110000
31000202102012120000
4113233101312300
51303424113442
6103304150000
712604144440
oct2757216660
91022365500
10398269872
111948a4060
12b1468300
1364686c60
143ac74120
1524e70d4c
hex17bd1db0

398269872 has 400 divisors, whose sum is σ = 1552733952. Its totient is φ = 95178240.

The previous prime is 398269871. The next prime is 398269873. The reversal of 398269872 is 278962893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (398269871) and next prime (398269873).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (398269871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1297143 + ... + 1297449.

Almost surely, 2398269872 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 398269872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776366976).

398269872 is an abundant number, since it is smaller than the sum of its proper divisors (1154464080).

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

398269872 is a wasteful number, since it uses less digits than its factorization.

398269872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 398269872 is about 19956.6999275932. The cubic root of 398269872 is about 735.7424567554.

The spelling of 398269872 in words is "three hundred ninety-eight million, two hundred sixty-nine thousand, eight hundred seventy-two".