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3364213840 = 245133234821
BaseRepresentation
bin1100100010000101…
…1101010001010000
322200110100202210121
43020201131101100
523342214320330
61313454440024
7146240226421
oct31041352120
98613322717
103364213840
111477013719
1279a803014
13417ca62a0
1423cb33648
1514a53917a
hexc885d450

3364213840 has 40 divisors (see below), whose sum is σ = 8423476488. Its totient is φ = 1242170880.

The previous prime is 3364213763. The next prime is 3364213843. The reversal of 3364213840 is 483124633.

It can be written as a sum of positive squares in 4 ways, for example, as 147962896 + 3216250944 = 12164^2 + 56712^2 .

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

It is a super-2 number, since 2×33642138402 = 22635869522495091200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3364213796 and 3364213805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364213843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1616371 + ... + 1618450.

Almost surely, 23364213840 is an apocalyptic number.

It is an amenable number.

3364213840 is an abundant number, since it is smaller than the sum of its proper divisors (5059262648).

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

3364213840 is a wasteful number, since it uses less digits than its factorization.

3364213840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234847 (or 3234841 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 3364213840 is about 58001.8434189811. The cubic root of 3364213840 is about 1498.4003450461.

The spelling of 3364213840 in words is "three billion, three hundred sixty-four million, two hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3234821 6469642 12939284 16174105 25878568 32348210 42052673 51757136 64696420 84105346 129392840 168210692 210263365 258785680 336421384 420526730 672842768 841053460 1682106920 3364213840