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338691990 = 235713971279
BaseRepresentation
bin10100001100000…
…000011110010110
3212121022100001210
4110030000132112
51143201120430
653335202250
711251556130
oct2414003626
9777270053
10338691990
1116420133a
1295516386
1355227180
1432da6050
151eb032b0
hex14300796

338691990 has 128 divisors (see below), whose sum is σ = 1011548160. Its totient is φ = 70668288.

The previous prime is 338691959. The next prime is 338692027. The reversal of 338691990 is 99196833.

It is a happy number.

338691990 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3386919902 = 229424528180320200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 264171 + ... + 265449.

It is an arithmetic number, because the mean of its divisors is an integer number (7902720).

Almost surely, 2338691990 is an apocalyptic number.

338691990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338691990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505774080).

338691990 is an abundant number, since it is smaller than the sum of its proper divisors (672856170).

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

338691990 is a wasteful number, since it uses less digits than its factorization.

338691990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406.

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 338691990 is about 18403.5863352772. The cubic root of 338691990 is about 697.0570252919.

The spelling of 338691990 in words is "three hundred thirty-eight million, six hundred ninety-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 97 105 130 182 194 195 210 273 291 390 455 485 546 582 679 910 970 1261 1279 1358 1365 1455 2037 2522 2558 2730 2910 3395 3783 3837 4074 6305 6395 6790 7566 7674 8827 8953 10185 12610 12790 16627 17654 17906 18915 19185 20370 26481 26859 33254 37830 38370 44135 44765 49881 52962 53718 83135 88270 89530 99762 116389 124063 132405 134295 166270 232778 248126 249405 264810 268590 349167 372189 498810 581945 620315 698334 744378 868441 1163890 1240630 1612819 1736882 1745835 1860945 2605323 3225638 3491670 3721890 4342205 4838457 5210646 8064095 8684410 9676914 11289733 13026615 16128190 22579466 24192285 26053230 33869199 48384570 56448665 67738398 112897330 169345995 338691990