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34087131 = 3213273307
BaseRepresentation
bin1000001000001…
…0000011011011
32101010210202100
42002002003123
532211242011
63214334443
7562510251
oct202020333
971123670
1034087131
1118272191
12b4ba423
1370a6400
1447545d1
152ed4d56
hex20820db

34087131 has 36 divisors (see below), whose sum is σ = 54222168. Its totient is φ = 20621952.

The previous prime is 34087103. The next prime is 34087133. The reversal of 34087131 is 13178043.

It is not a de Polignac number, because 34087131 - 211 = 34085083 is a prime.

It is a super-2 number, since 2×340871312 = 2323864999622322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34087095 and 34087104.

It is not an unprimeable number, because it can be changed into a prime (34087133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110880 + ... + 111186.

Almost surely, 234087131 is an apocalyptic number.

34087131 is a deficient number, since it is larger than the sum of its proper divisors (20135037).

34087131 is a wasteful number, since it uses less digits than its factorization.

34087131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 34087131 is about 5838.4185358708. The cubic root of 34087131 is about 324.2376799668.

The spelling of 34087131 in words is "thirty-four million, eighty-seven thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 73 117 169 219 307 507 657 921 949 1521 2763 2847 3991 8541 11973 12337 22411 35919 37011 51883 67233 111033 155649 201699 291343 466947 874029 2622087 3787459 11362377 34087131