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332364340 = 2257111937307
BaseRepresentation
bin10011110011110…
…111101000110100
3212011101212011101
4103303313220310
51140041124330
652551415444
711144023150
oct2363675064
9764355141
10332364340
1116067a280
1293384584
1353b1ccb9
14321da060
151e2a34ca
hex13cf7a34

332364340 has 192 divisors, whose sum is σ = 943810560. Its totient is φ = 95178240.

The previous prime is 332364337. The next prime is 332364341. The reversal of 332364340 is 43463233.

It is a super-2 number, since 2×3323643402 = 220932109007271200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 332364299 and 332364308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332364341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1082467 + ... + 1082773.

It is an arithmetic number, because the mean of its divisors is an integer number (4915680).

Almost surely, 2332364340 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 332364340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471905280).

332364340 is an abundant number, since it is smaller than the sum of its proper divisors (611446220).

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

332364340 is a wasteful number, since it uses less digits than its factorization.

332364340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

The square root of 332364340 is about 18230.8622944720. The cubic root of 332364340 is about 692.6887598145.

The spelling of 332364340 in words is "three hundred thirty-two million, three hundred sixty-four thousand, three hundred forty".