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331877084 = 227118912107
BaseRepresentation
bin10011110010000…
…000101011011100
3212010111002202212
4103302000223130
51134430031314
652533135552
711136623450
oct2362005334
9763432685
10331877084
11160377190
129318a5b8
13539ac296
1432110660
151e208e3e
hex13c80adc

331877084 has 48 divisors (see below), whose sum is σ = 732291840. Its totient is φ = 127839360.

The previous prime is 331877081. The next prime is 331877089. The reversal of 331877084 is 480778133.

It is a super-2 number, since 2×3318770842 = 220284797768686112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331877081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21359 + ... + 33465.

It is an arithmetic number, because the mean of its divisors is an integer number (15256080).

Almost surely, 2331877084 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 331877084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366145920).

331877084 is an abundant number, since it is smaller than the sum of its proper divisors (400414756).

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

331877084 is a wasteful number, since it uses less digits than its factorization.

331877084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12218 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 331877084 is about 18217.4939000950. The cubic root of 331877084 is about 692.3500934929.

The spelling of 331877084 in words is "three hundred thirty-one million, eight hundred seventy-seven thousand, eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 89 154 178 308 356 623 979 1246 1958 2492 3916 6853 12107 13706 24214 27412 48428 84749 133177 169498 266354 338996 532708 932239 1077523 1864478 2155046 3728956 4310092 7542661 11852753 15085322 23705506 30170644 47411012 82969271 165938542 331877084