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398835140 = 225113315477
BaseRepresentation
bin10111110001011…
…011110111000100
31000210110220221212
4113301123313010
51304100211030
6103324230552
712612020444
oct2761336704
91023426855
10398835140
1119514a820
12b169b458
1364824332
143ad80124
1525033595
hex17c5bdc4

398835140 has 48 divisors (see below), whose sum is σ = 916622784. Its totient is φ = 144566400.

The previous prime is 398835127. The next prime is 398835161. The reversal of 398835140 is 41538893.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70082 + ... + 75558.

It is an arithmetic number, because the mean of its divisors is an integer number (19096308).

Almost surely, 2398835140 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 398835140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458311392).

398835140 is an abundant number, since it is smaller than the sum of its proper divisors (517787644).

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

398835140 is a wasteful number, since it uses less digits than its factorization.

398835140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 398835140 is about 19970.8572675286. The cubic root of 398835140 is about 736.0903741616.

It can be divided in two parts, 398 and 835140, that added together give a palindrome (835538).

The spelling of 398835140 in words is "three hundred ninety-eight million, eight hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 3310 3641 5477 6620 7282 10954 14564 18205 21908 27385 36410 54770 60247 72820 109540 120494 240988 301235 602470 1204940 1812887 3625774 7251548 9064435 18128870 19941757 36257740 39883514 79767028 99708785 199417570 398835140