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331218426 = 237113591997
BaseRepresentation
bin10011101111011…
…111110111111010
3212002020122021010
4103233133313322
51134242442201
652511054350
711131211250
oct2357376772
9762218233
10331218426
1115aa67340
1292b113b6
135380b546
1431dbc5d0
151e128bd6
hex13bdfdfa

331218426 has 64 divisors (see below), whose sum is σ = 828610560. Its totient is φ = 85748160.

The previous prime is 331218397. The next prime is 331218427. The reversal of 331218426 is 624812133.

It is a junction number, because it is equal to n+sod(n) for n = 331218393 and 331218402.

It is not an unprimeable number, because it can be changed into a prime (331218427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164860 + ... + 166856.

It is an arithmetic number, because the mean of its divisors is an integer number (12947040).

Almost surely, 2331218426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331218426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414305280).

331218426 is an abundant number, since it is smaller than the sum of its proper divisors (497392134).

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

331218426 is a wasteful number, since it uses less digits than its factorization.

331218426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379.

The product of its digits is 6912, while the sum is 30.

The square root of 331218426 is about 18199.4072980413. The cubic root of 331218426 is about 691.8917672396.

The spelling of 331218426 in words is "three hundred thirty-one million, two hundred eighteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 359 462 718 1077 1997 2154 2513 3949 3994 5026 5991 7539 7898 11847 11982 13979 15078 21967 23694 27643 27958 41937 43934 55286 65901 82929 83874 131802 153769 165858 307538 461307 716923 922614 1433846 2150769 4301538 5018461 7886153 10036922 15055383 15772306 23658459 30110766 47316918 55203071 110406142 165609213 331218426