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3226034640 = 243513441811
BaseRepresentation
bin1100000001001001…
…0110000111010000
322022211100112120110
43000102112013100
523101331102030
61252041041320
7142641561543
oct30022260720
98284315513
103226034640
111406015634
12760486240
133c548594a
1422864485a
1513d3421b0
hexc04961d0

3226034640 has 40 divisors (see below), whose sum is σ = 10000708128. Its totient is φ = 860275840.

The previous prime is 3226034639. The next prime is 3226034641. The reversal of 3226034640 is 464306223.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3226034639) and next prime (3226034641).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3226034598 and 3226034607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226034641) 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 7 ways as a sum of consecutive naturals, for example, 6720666 + ... + 6721145.

Almost surely, 23226034640 is an apocalyptic number.

3226034640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3226034640 is an abundant number, since it is smaller than the sum of its proper divisors (6774673488).

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

3226034640 is a wasteful number, since it uses less digits than its factorization.

3226034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441827 (or 13441821 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3226034640 is about 56798.1922247531. The cubic root of 3226034640 is about 1477.5981617153.

The spelling of 3226034640 in words is "three billion, two hundred twenty-six million, thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13441811 26883622 40325433 53767244 67209055 80650866 107534488 134418110 161301732 201627165 215068976 268836220 322603464 403254330 537672440 645206928 806508660 1075344880 1613017320 3226034640