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332305413 = 31197103813
BaseRepresentation
bin10011110011101…
…001010000000101
3212011021212022220
4103303221100011
51140032233123
652550242553
711143356306
oct2363512005
9764255286
10332305413
11160639a80
1293356459
1353acc22b
14321c27ad
151e290ce3
hex13ce9405

332305413 has 16 divisors (see below), whose sum is σ = 488341056. Its totient is φ = 199319040.

The previous prime is 332305411. The next prime is 332305427. The reversal of 332305413 is 314503233.

It is a happy number.

It is not a de Polignac number, because 332305413 - 21 = 332305411 is a prime.

It is a super-2 number, since 2×3323054132 = 220853775018201138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332305411) 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, 48706 + ... + 55107.

It is an arithmetic number, because the mean of its divisors is an integer number (30521316).

Almost surely, 2332305413 is an apocalyptic number.

332305413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

332305413 is a deficient number, since it is larger than the sum of its proper divisors (156035643).

332305413 is a wasteful number, since it uses less digits than its factorization.

332305413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103924.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 332305413 is about 18229.2460897317. The cubic root of 332305413 is about 692.6478203211.

Adding to 332305413 its reverse (314503233), we get a palindrome (646808646).

The spelling of 332305413 in words is "three hundred thirty-two million, three hundred five thousand, four hundred thirteen".

Divisors: 1 3 11 33 97 291 1067 3201 103813 311439 1141943 3425829 10069861 30209583 110768471 332305413