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331445376 = 2732436691
BaseRepresentation
bin10011110000010…
…111010010000000
3212002200011120200
4103300113102000
51134322223001
652520005200
711133145023
oct2360272200
9762604520
10331445376
111601018a9
1293000800
135388a932
143203b1ba
151e171086
hex13c17480

331445376 has 96 divisors (see below), whose sum is σ = 976095120. Its totient is φ = 107896320.

The previous prime is 331445299. The next prime is 331445377. The reversal of 331445376 is 673544133.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 331445376.

It is not an unprimeable number, because it can be changed into a prime (331445377) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 46191 + ... + 52881.

Almost surely, 2331445376 is an apocalyptic number.

331445376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488047560).

331445376 is an abundant number, since it is smaller than the sum of its proper divisors (644649744).

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

331445376 is a wasteful number, since it uses less digits than its factorization.

331445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754 (or 6739 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 331445376 is about 18205.6413235019. The cubic root of 331445376 is about 692.0497586370.

The spelling of 331445376 in words is "three hundred thirty-one million, four hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 6691 8256 12384 13382 16512 20073 24768 26764 40146 49536 53528 60219 80292 107056 120438 160584 214112 240876 287713 321168 428224 481752 575426 642336 856448 863139 963504 1150852 1284672 1726278 1927008 2301704 2569344 2589417 3452556 3854016 4603408 5178834 6905112 7708032 9206816 10357668 13810224 18413632 20715336 27620448 36827264 41430672 55240896 82861344 110481792 165722688 331445376