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398130000 = 2435423577
BaseRepresentation
bin10111101110101…
…111101101010000
31000202011002200120
4113232233231100
51303410130000
6103301150240
712603022602
oct2756575520
91022132616
10398130000
11194808a64
12b13bb380
13646383a8
143ac39172
1524e446a0
hex17bafb50

398130000 has 200 divisors, whose sum is σ = 1343419968. Its totient is φ = 101376000.

The previous prime is 398129999. The next prime is 398130097. The reversal of 398130000 is 31893.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689712 + ... + 690288.

Almost surely, 2398130000 is an apocalyptic number.

398130000 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 398130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671709984).

398130000 is an abundant number, since it is smaller than the sum of its proper divisors (945289968).

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

398130000 is a wasteful number, since it uses less digits than its factorization.

398130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 398130000 is about 19953.1952328443. The cubic root of 398130000 is about 735.6563159869.

Adding to 398130000 its reverse (31893), we get a palindrome (398161893).

The spelling of 398130000 in words is "three hundred ninety-eight million, one hundred thirty thousand".