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338891420 = 225713717669
BaseRepresentation
bin10100001100110…
…001001010011100
3212121200110122002
4110030301022130
51143224011140
653343341432
711253346430
oct2414611234
9777613562
10338891420
1116432815a
12955b1878
1355296b8a
14330189c0
151eb42415
hex1433129c

338891420 has 48 divisors (see below), whose sum is σ = 819322560. Its totient is φ = 115336704.

The previous prime is 338891393. The next prime is 338891431. The reversal of 338891420 is 24198833.

It is a super-2 number, since 2×3388914202 = 229694789099232800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10346 + ... + 28014.

It is an arithmetic number, because the mean of its divisors is an integer number (17069220).

Almost surely, 2338891420 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 338891420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409661280).

338891420 is an abundant number, since it is smaller than the sum of its proper divisors (480431140).

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

338891420 is a wasteful number, since it uses less digits than its factorization.

338891420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17822 (or 17820 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 338891420 is about 18409.0037753269. The cubic root of 338891420 is about 697.1938131017.

The spelling of 338891420 in words is "three hundred thirty-eight million, eight hundred ninety-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3836 4795 9590 17669 19180 35338 70676 88345 123683 176690 247366 353380 494732 618415 1236830 2420653 2473660 4841306 9682612 12103265 16944571 24206530 33889142 48413060 67778284 84722855 169445710 338891420