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2340065406 = 237414792837
BaseRepresentation
bin1000101101111010…
…1001000001111110
320001002020122021010
42023132221001332
514243024043111
61024111420050
7111663141060
oct21336510176
96032218233
102340065406
11aa09a6858
12553824626
132b3a626b3
14182adb730
15da687aa6
hex8b7a907e

2340065406 has 64 divisors (see below), whose sum is σ = 5492551680. Its totient is φ = 650691840.

The previous prime is 2340065401. The next prime is 2340065503. The reversal of 2340065406 is 6045600432.

It is a super-2 number, since 2×23400654062 = 10951812208715889672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340065401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823420 + ... + 826256.

It is an arithmetic number, because the mean of its divisors is an integer number (85821120).

Almost surely, 22340065406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340065406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746275840).

2340065406 is an abundant number, since it is smaller than the sum of its proper divisors (3152486274).

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

2340065406 is a wasteful number, since it uses less digits than its factorization.

2340065406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2340065406 is about 48374.2225363881. Note that the first 3 decimals coincide. The cubic root of 2340065406 is about 1327.6267636547.

Adding to 2340065406 its reverse (6045600432), we get a palindrome (8385665838).

The spelling of 2340065406 in words is "two billion, three hundred forty million, sixty-five thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 479 574 861 958 1437 1722 2837 2874 3353 5674 6706 8511 10059 17022 19639 19859 20118 39278 39718 58917 59577 116317 117834 119154 137473 232634 274946 348951 412419 697902 814219 824838 1358923 1628438 2442657 2717846 4076769 4885314 8153538 9512461 19024922 28537383 55715843 57074766 111431686 167147529 334295058 390010901 780021802 1170032703 2340065406