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34312102002 = 2324574171177
BaseRepresentation
bin11111111101001010…
…010010000001110010
310021120021021101021200
4133331022102001302
51030232344231002
623432431232030
72323200024543
oct377512220162
9107507241250
1034312102002
11136083180a2
126797078616
13330a860b49
1419370024ca
15d5c49db1c
hex7fd292072

34312102002 has 24 divisors (see below), whose sum is σ = 74505581436. Its totient is φ = 11412337536.

The previous prime is 34312102001. The next prime is 34312102007. The reversal of 34312102002 is 20020121343.

34312102002 is a `hidden beast` number, since 3 + 431 + 210 + 20 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34021433601 + 290668401 = 184449^2 + 17049^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34312102001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2077363 + ... + 2093814.

Almost surely, 234312102002 is an apocalyptic number.

34312102002 is an abundant number, since it is smaller than the sum of its proper divisors (40193479434).

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

34312102002 is a wasteful number, since it uses less digits than its factorization.

34312102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171642 (or 4171639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34312102002 its reverse (20020121343), we get a palindrome (54332223345).

The spelling of 34312102002 in words is "thirty-four billion, three hundred twelve million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 18 457 914 1371 2742 4113 8226 4171177 8342354 12513531 25027062 37540593 75081186 1906227889 3812455778 5718683667 11437367334 17156051001 34312102002