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34002031 = 726710357
BaseRepresentation
bin1000000110110…
…1010001101111
32100222111000111
42001231101233
532201031111
63212440451
7562004200
oct201552157
970874014
1034002031
1118214258
12b479127
13707675b
1447315a7
152eb9a21
hex206d46f

34002031 has 12 divisors (see below), whose sum is σ = 40147608. Its totient is φ = 28706832.

The previous prime is 34001999. The next prime is 34002047. The reversal of 34002031 is 13020043.

34002031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34002031 - 25 = 34001999 is a prime.

It is a super-2 number, since 2×340020312 = 2312276224249922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003031) 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 11 ways as a sum of consecutive naturals, for example, 1896 + ... + 8461.

It is an arithmetic number, because the mean of its divisors is an integer number (3345634).

Almost surely, 234002031 is an apocalyptic number.

34002031 is a deficient number, since it is larger than the sum of its proper divisors (6145577).

34002031 is a wasteful number, since it uses less digits than its factorization.

34002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438 (or 10431 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 34002031 is about 5831.1260490578. The cubic root of 34002031 is about 323.9676306381.

Adding to 34002031 its reverse (13020043), we get a palindrome (47022074).

The spelling of 34002031 in words is "thirty-four million, two thousand, thirty-one".

Divisors: 1 7 49 67 469 3283 10357 72499 507493 693919 4857433 34002031