Search a number
-
+
3345351876 = 2232142965029
BaseRepresentation
bin1100011101100110…
…0000010011000100
322122010212111001100
43013121200103010
523322402230001
61311542300100
7145621010316
oct30731402304
98563774040
103345351876
111467400419
12794427630
13414100b69
1423a4237b6
15148a60586
hexc76604c4

3345351876 has 36 divisors (see below), whose sum is σ = 8462353900. Its totient is φ = 1114319808.

The previous prime is 3345351871. The next prime is 3345351881. The reversal of 3345351876 is 6781535433.

3345351876 is a `hidden beast` number, since 3 + 34 + 535 + 1 + 87 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3345351871) and next prime (3345351881).

It can be written as a sum of positive squares in 2 ways, for example, as 2081549376 + 1263802500 = 45624^2 + 35550^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33453518762 = 22382758348513438752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3345351871) 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, 18930 + ... + 83958.

Almost surely, 23345351876 is an apocalyptic number.

3345351876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3345351876 is an abundant number, since it is smaller than the sum of its proper divisors (5117002024).

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

3345351876 is a wasteful number, since it uses less digits than its factorization.

3345351876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66468 (or 66463 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3345351876 is about 57839.0169003589. The cubic root of 3345351876 is about 1495.5947605754.

The spelling of 3345351876 in words is "three billion, three hundred forty-five million, three hundred fifty-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 1429 2858 4287 5716 8574 12861 17148 25722 51444 65029 130058 195087 260116 390174 585261 780348 1170522 2341044 92926441 185852882 278779323 371705764 557558646 836337969 1115117292 1672675938 3345351876