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398042820 = 223257315907
BaseRepresentation
bin10111101110011…
…010011011000100
31000201222200002200
4113232122123010
51303344332240
6103255234500
712602210460
oct2756323304
91021880080
10398042820
1119475950a
12b1378a30
13646077c6
143ac154a0
1524e28930
hex17b9a6c4

398042820 has 72 divisors (see below), whose sum is σ = 1379886144. Its totient is φ = 90980928.

The previous prime is 398042809. The next prime is 398042831. The reversal of 398042820 is 28240893.

It is an interprime number because it is at equal distance from previous prime (398042809) and next prime (398042831).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156694 + ... + 159213.

Almost surely, 2398042820 is an apocalyptic number.

398042820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398042820 is an abundant number, since it is smaller than the sum of its proper divisors (981843324).

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

398042820 is a wasteful number, since it uses less digits than its factorization.

398042820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315929 (or 315924 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 398042820 is about 19951.0105007240. The cubic root of 398042820 is about 735.6026156047.

It can be divided in two parts, 39804 and 2820, that added together give a palindrome (42624).

The spelling of 398042820 in words is "three hundred ninety-eight million, forty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 315907 631814 947721 1263628 1579535 1895442 2211349 2843163 3159070 3790884 4422698 4738605 5686326 6318140 6634047 8845396 9477210 11056745 11372652 13268094 14215815 18954420 19902141 22113490 26536188 28431630 33170235 39804282 44226980 56863260 66340470 79608564 99510705 132680940 199021410 398042820