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270808398 = 23272479641
BaseRepresentation
bin10000001001000…
…011010101001110
3200212120111021200
4100021003111032
51023311332043
642512210330
76465555600
oct2011032516
9625514250
10270808398
111299563a3
12768399a6
1344149a73
1427d75170
1518b947d3
hex1024354e

270808398 has 72 divisors (see below), whose sum is σ = 685039680. Its totient is φ = 77091840.

The previous prime is 270808393. The next prime is 270808427. The reversal of 270808398 is 893808072.

270808398 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270808393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 422158 + ... + 422798.

It is an arithmetic number, because the mean of its divisors is an integer number (9514440).

Almost surely, 2270808398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270808398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342519840).

270808398 is an abundant number, since it is smaller than the sum of its proper divisors (414231282).

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

270808398 is a wasteful number, since it uses less digits than its factorization.

270808398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 270808398 is about 16456.2571078602. The cubic root of 270808398 is about 646.9748164110.

The spelling of 270808398 in words is "two hundred seventy million, eight hundred eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 479 641 882 958 1282 1437 1923 2874 3353 3846 4311 4487 5769 6706 8622 8974 10059 11538 13461 20118 23471 26922 30177 31409 40383 46942 60354 62818 70413 80766 94227 140826 188454 211239 282681 307039 422478 565362 614078 921117 1842234 2149273 2763351 4298546 5526702 6447819 12895638 15044911 19343457 30089822 38686914 45134733 90269466 135404199 270808398