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331000026 = 237192914303
BaseRepresentation
bin10011101110101…
…010100011011010
3212001211112200020
4103232222203122
51134214000101
652502251310
711126311440
oct2356524332
9761745606
10331000026
1115a928245
1292a26b36
1353763006
1431d62b90
151e0d4136
hex13baa8da

331000026 has 64 divisors (see below), whose sum is σ = 823910400. Its totient is φ = 86498496.

The previous prime is 331000009. The next prime is 331000037. The reversal of 331000026 is 620000133.

331000026 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 2×3310000262 = 219122034424001352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330999969 and 331000014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15991 + ... + 30293.

It is an arithmetic number, because the mean of its divisors is an integer number (12873600).

Almost surely, 2331000026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331000026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411955200).

331000026 is an abundant number, since it is smaller than the sum of its proper divisors (492910374).

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

331000026 is a wasteful number, since it uses less digits than its factorization.

331000026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14363.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 331000026 is about 18193.4061132049. The cubic root of 331000026 is about 691.7396597729.

Adding to 331000026 its reverse (620000133), we get a palindrome (951000159).

The spelling of 331000026 in words is "three hundred thirty-one million, twenty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 551 609 798 1102 1218 1653 3306 3857 7714 11571 14303 23142 28606 42909 85818 100121 200242 271757 300363 414787 543514 600726 815271 829574 1244361 1630542 1902299 2488722 2903509 3804598 5706897 5807018 7880953 8710527 11413794 15761906 17421054 23642859 47285718 55166671 110333342 165500013 331000026