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34372704333 = 3113728151273
BaseRepresentation
bin100000000000110001…
…011101100001001101
310021201111022022001110
4200000301131201031
51030343403014313
623442434202233
72324534110662
oct400061354115
9107644268043
1034372704333
111363954a570
1267b3423379
13331a28c006
141941099a69
15d6296eec3
hex800c5d84d

34372704333 has 16 divisors (see below), whose sum is σ = 51347923776. Its totient is φ = 20268915840.

The previous prime is 34372704307. The next prime is 34372704349. The reversal of 34372704333 is 33340727343.

It is not a de Polignac number, because 34372704333 - 212 = 34372700237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34372704291 and 34372704300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34372704733) 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, 14074416 + ... + 14076857.

It is an arithmetic number, because the mean of its divisors is an integer number (3209245236).

Almost surely, 234372704333 is an apocalyptic number.

34372704333 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34372704333 is a deficient number, since it is larger than the sum of its proper divisors (16975219443).

34372704333 is a wasteful number, since it uses less digits than its factorization.

34372704333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28151324.

The product of its (nonzero) digits is 381024, while the sum is 39.

The spelling of 34372704333 in words is "thirty-four billion, three hundred seventy-two million, seven hundred four thousand, three hundred thirty-three".

Divisors: 1 3 11 33 37 111 407 1221 28151273 84453819 309664003 928992009 1041597101 3124791303 11457568111 34372704333