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3434242644 = 2233743891187
BaseRepresentation
bin1100110010110010…
…0110001001010100
322212100010121021000
43030230212021110
524013131231034
61324435423300
7151050403140
oct31454461124
98770117230
103434242644
1115025a4368
127ba154b30
13429654c51
14248162220
1515176d599
hexccb26254

3434242644 has 192 divisors, whose sum is σ = 10538035200. Its totient is φ = 946826496.

The previous prime is 3434242621. The next prime is 3434242657. The reversal of 3434242644 is 4462424343.

3434242644 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 2 + 4 + 2 + 644 = 666.

It is a super-2 number, since 2×34342426442 = 23588045075736221472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3434242599 and 3434242608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2892619 + ... + 2893805.

It is an arithmetic number, because the mean of its divisors is an integer number (54885600).

Almost surely, 23434242644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434242644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269017600).

3434242644 is an abundant number, since it is smaller than the sum of its proper divisors (7103792556).

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

3434242644 is a wasteful number, since it uses less digits than its factorization.

3434242644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1331 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

The square root of 3434242644 is about 58602.4115886027. The cubic root of 3434242644 is about 1508.7258295055.

Adding to 3434242644 its reverse (4462424343), we get a palindrome (7896666987).

The spelling of 3434242644 in words is "three billion, four hundred thirty-four million, two hundred forty-two thousand, six hundred forty-four".