Search a number
-
+
398120300 = 225219317661
BaseRepresentation
bin10111101110101…
…101010101101100
31000202010121101022
4113232231111230
51303404322200
6103301033312
712602652404
oct2756552554
91022117338
10398120300
11194801746
12b13b5838
1364633b56
143ac35804
1524e41885
hex17bad56c

398120300 has 72 divisors (see below), whose sum is σ = 913639440. Its totient is φ = 150163200.

The previous prime is 398120299. The next prime is 398120309. The reversal of 398120300 is 3021893.

It is a self number, because there is not a number n which added to its sum of digits gives 398120300.

It is not an unprimeable number, because it can be changed into a prime (398120309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601970 + ... + 602630.

Almost surely, 2398120300 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 398120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456819720).

398120300 is an abundant number, since it is smaller than the sum of its proper divisors (515519140).

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

398120300 is a wasteful number, since it uses less digits than its factorization.

398120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 398120300 is about 19952.9521625247. The cubic root of 398120300 is about 735.6503414524.

The spelling of 398120300 in words is "three hundred ninety-eight million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 317 380 475 634 661 950 1268 1322 1585 1900 2644 3170 3305 6023 6340 6610 7925 12046 12559 13220 15850 16525 24092 25118 30115 31700 33050 50236 60230 62795 66100 120460 125590 150575 209537 251180 301150 313975 419074 602300 627950 838148 1047685 1255900 2095370 3981203 4190740 5238425 7962406 10476850 15924812 19906015 20953700 39812030 79624060 99530075 199060150 398120300