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3434224024 = 2371123242393
BaseRepresentation
bin1100110010110010…
…0001100110011000
322212100002122201101
43030230201212120
524013130132044
61324435201144
7151050264640
oct31454414630
98770078641
103434224024
111502591380
127ba1461b4
1342964962a
14248159520
15151767cd4
hexccb21998

3434224024 has 64 divisors (see below), whose sum is σ = 8377136640. Its totient is φ = 1279829760.

The previous prime is 3434224021. The next prime is 3434224037. The reversal of 3434224024 is 4204224343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3434223983 and 3434224001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434224021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107029 + ... + 135364.

It is an arithmetic number, because the mean of its divisors is an integer number (130892760).

Almost surely, 23434224024 is an apocalyptic number.

It is an amenable number.

3434224024 is an abundant number, since it is smaller than the sum of its proper divisors (4942912616).

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

3434224024 is a wasteful number, since it uses less digits than its factorization.

3434224024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242440 (or 242436 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 3434224024 is about 58602.2527212052. The cubic root of 3434224024 is about 1508.7231027980.

Adding to 3434224024 its reverse (4204224343), we get a palindrome (7638448367).

The spelling of 3434224024 in words is "three billion, four hundred thirty-four million, two hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3542 7084 14168 242393 484786 969572 1696751 1939144 2666323 3393502 5332646 5575039 6787004 10665292 11150078 13574008 18664261 21330584 22300156 37328522 39025273 44600312 61325429 74657044 78050546 122650858 149314088 156101092 245301716 312202184 429278003 490603432 858556006 1717112012 3434224024