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3426441624 = 233250119497
BaseRepresentation
bin1100110000111011…
…0101100110011000
322211210110021021100
43030032311212120
524004132112444
61324000311400
7150624162504
oct31416654630
98753407240
103426441624
1114a9156341
127b7612560
13427b53268
142470d1304
15150c2be69
hexcc3b5998

3426441624 has 48 divisors (see below), whose sum is σ = 9282775320. Its totient is φ = 1141799040.

The previous prime is 3426441617. The next prime is 3426441643. The reversal of 3426441624 is 4261446243.

3426441624 is a `hidden beast` number, since 3 + 4 + 2 + 644 + 1 + 6 + 2 + 4 = 666.

3426441624 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356044 + ... + 365540.

Almost surely, 23426441624 is an apocalyptic number.

It is an amenable number.

3426441624 is an abundant number, since it is smaller than the sum of its proper divisors (5856333696).

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

3426441624 is a wasteful number, since it uses less digits than its factorization.

3426441624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14520 (or 14513 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 3426441624 is about 58535.8148828561. The cubic root of 3426441624 is about 1507.5825863355.

Adding to 3426441624 its reverse (4261446243), we get a palindrome (7687887867).

The spelling of 3426441624 in words is "three billion, four hundred twenty-six million, four hundred forty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5011 9497 10022 15033 18994 20044 28491 30066 37988 40088 45099 56982 60132 75976 85473 90198 113964 120264 170946 180396 227928 341892 360792 683784 47589467 95178934 142768401 190357868 285536802 380715736 428305203 571073604 856610406 1142147208 1713220812 3426441624