Search a number
-
+
331881840 = 24335153649
BaseRepresentation
bin10011110010000…
…001110101110000
3212010111100022000
4103302001311300
51134430204330
652533214000
711136643353
oct2362016560
9763440260
10331881840
1116037a814
1293191300
13539b14b4
143211229a
151e20a560
hex13c81d70

331881840 has 80 divisors (see below), whose sum is σ = 1143156000. Its totient is φ = 88501248.

The previous prime is 331881787. The next prime is 331881883. The reversal of 331881840 is 48188133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3318818402 = 220291111443571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 331881795 and 331881804.

It is a congruent number.

It is an unprimeable number.

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, 74665 + ... + 78984.

It is an arithmetic number, because the mean of its divisors is an integer number (14289450).

Almost surely, 2331881840 is an apocalyptic number.

331881840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331881840 is an abundant number, since it is smaller than the sum of its proper divisors (811274160).

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

331881840 is a wasteful number, since it uses less digits than its factorization.

331881840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153671 (or 153659 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 331881840 is about 18217.6244334985. The cubic root of 331881840 is about 692.3534007428.

It can be divided in two parts, 3318 and 81840, that added together give a palindrome (85158).

The spelling of 331881840 in words is "three hundred thirty-one million, eight hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 153649 307298 460947 614596 768245 921894 1229192 1382841 1536490 1843788 2304735 2458384 2765682 3072980 3687576 4148523 4609470 5531364 6145960 6914205 7375152 8297046 9218940 11062728 12291920 13828410 16594092 18437880 20742615 22125456 27656820 33188184 36875760 41485230 55313640 66376368 82970460 110627280 165940920 331881840