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398741028 = 223724611471
BaseRepresentation
bin10111110001000…
…100111000100100
31000210022010212020
4113301010320210
51304034203103
6103322223140
712611146200
oct2761047044
91023263766
10398741028
11195096044
12b1654ab0
13647c054a
143ad57b00
1525015753
hex17c44e24

398741028 has 72 divisors (see below), whose sum is σ = 1085382144. Its totient is φ = 113601600.

The previous prime is 398741027. The next prime is 398741033. The reversal of 398741028 is 820147893.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (398741027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270333 + ... + 271803.

It is an arithmetic number, because the mean of its divisors is an integer number (15074752).

Almost surely, 2398741028 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 398741028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542691072).

398741028 is an abundant number, since it is smaller than the sum of its proper divisors (686641116).

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

398741028 is a wasteful number, since it uses less digits than its factorization.

398741028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 398741028 is about 19968.5008951599. The cubic root of 398741028 is about 736.0324718857.

The spelling of 398741028 in words is "three hundred ninety-eight million, seven hundred forty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 461 588 922 1383 1471 1844 2766 2942 3227 4413 5532 5884 6454 8826 9681 10297 12908 17652 19362 20594 22589 30891 38724 41188 45178 61782 67767 72079 90356 123564 135534 144158 216237 271068 288316 432474 678131 864948 1356262 2034393 2712524 4068786 4746917 8137572 9493834 14240751 18987668 28481502 33228419 56963004 66456838 99685257 132913676 199370514 398741028