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398301940 = 225196117183
BaseRepresentation
bin10111101111011…
…001101011110100
31000202110211112201
4113233121223310
51303431130230
6103304554244
712604340101
oct2757315364
91022424481
10398301940
11194916163
12b1482984
136469872a
143ac81aa8
1524e7a5ca
hex17bd9af4

398301940 has 48 divisors (see below), whose sum is σ = 894942720. Its totient is φ = 148452480.

The previous prime is 398301913. The next prime is 398301947. The reversal of 398301940 is 49103893.

It is a self number, because there is not a number n which added to its sum of digits gives 398301940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398301947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14589 + ... + 31771.

It is an arithmetic number, because the mean of its divisors is an integer number (18644640).

Almost surely, 2398301940 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 398301940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447471360).

398301940 is an abundant number, since it is smaller than the sum of its proper divisors (496640780).

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

398301940 is a wasteful number, since it uses less digits than its factorization.

398301940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272 (or 17270 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 398301940 is about 19957.5033508703. The cubic root of 398301940 is about 735.7622031280.

The spelling of 398301940 in words is "three hundred ninety-eight million, three hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 122 190 244 305 380 610 1159 1220 2318 4636 5795 11590 17183 23180 34366 68732 85915 171830 326477 343660 652954 1048163 1305908 1632385 2096326 3264770 4192652 5240815 6529540 10481630 19915097 20963260 39830194 79660388 99575485 199150970 398301940