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34215084468 = 2232950419013
BaseRepresentation
bin11111110111011000…
…001100000110110100
310021022111201101020200
4133313120030012310
51030033030200333
623415044000500
72320611263565
oct376730140664
9107274641220
1034215084468
1113568583414
12676a690130
1332c3722a16
14192818a16c
15d53bd7c13
hex7f760c1b4

34215084468 has 18 divisors (see below), whose sum is σ = 86488130274. Its totient is φ = 11405028144.

The previous prime is 34215084467. The next prime is 34215084469. The reversal of 34215084468 is 86448051243.

34215084468 is a `hidden beast` number, since 3 + 42 + 1 + 508 + 44 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (34215084467) and next prime (34215084469).

It can be written as a sum of positive squares in only one way, i.e., 33528539664 + 686544804 = 183108^2 + 26202^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34215084467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 475209471 + ... + 475209542.

Almost surely, 234215084468 is an apocalyptic number.

It is an amenable number.

34215084468 is an abundant number, since it is smaller than the sum of its proper divisors (52273045806).

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

34215084468 is a wasteful number, since it uses less digits than its factorization.

34215084468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950419023 (or 950419018 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 34215084468 in words is "thirty-four billion, two hundred fifteen million, eighty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 950419013 1900838026 2851257039 3801676052 5702514078 8553771117 11405028156 17107542234 34215084468