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3384824961 = 37712270171
BaseRepresentation
bin1100100111000000…
…0101010010000001
322201220010220221110
43021300011102001
523413003344321
61315512313533
7146610352230
oct31160052201
98656126843
103384824961
111487711101
127a56a28a9
1341c34190b
1424177ab17
1514c25b176
hexc9c05481

3384824961 has 16 divisors (see below), whose sum is σ = 5230476288. Its totient is φ = 1906942800.

The previous prime is 3384824957. The next prime is 3384824981. The reversal of 3384824961 is 1694284833.

It is not a de Polignac number, because 3384824961 - 22 = 3384824957 is a prime.

It is a super-2 number, since 2×33848249612 = 22914080033217303042, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3384824961.

It is not an unprimeable number, because it can be changed into a prime (3384824941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133595 + ... + 1136576.

It is an arithmetic number, because the mean of its divisors is an integer number (326904768).

Almost surely, 23384824961 is an apocalyptic number.

It is an amenable number.

3384824961 is a deficient number, since it is larger than the sum of its proper divisors (1845651327).

3384824961 is a wasteful number, since it uses less digits than its factorization.

3384824961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270252.

The product of its digits is 995328, while the sum is 48.

The square root of 3384824961 is about 58179.2485427579. The cubic root of 3384824961 is about 1501.4541396409.

The spelling of 3384824961 in words is "three billion, three hundred eighty-four million, eight hundred twenty-four thousand, nine hundred sixty-one".

Divisors: 1 3 7 21 71 213 497 1491 2270171 6810513 15891197 47673591 161182141 483546423 1128274987 3384824961