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3434780449 = 10325692
BaseRepresentation
bin1100110010111010…
…1001011100100001
322212101010220222201
43030232221130201
524013300433244
61324455133201
7151055103112
oct31456513441
98771126881
103434780449
111502931431
127ba374201
134297b2989
14248262209
15151827ad4
hexccba9721

3434780449 has 9 divisors (see below), whose sum is σ = 3474558003. Its totient is φ = 3395455152.

The previous prime is 3434780399. The next prime is 3434780473. The reversal of 3434780449 is 9440874343.

The square root of 3434780449 is 58607.

It is a perfect power (a square), and thus also a powerful number.

3434780449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 566106849 + 2868673600 = 23793^2 + 53560^2 .

It is not a de Polignac number, because 3434780449 - 217 = 3434649377 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3434780399 and 3434780408.

It is not an unprimeable number, because it can be changed into a prime (3434780849) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6036237 + ... + 6036805.

Almost surely, 23434780449 is an apocalyptic number.

3434780449 is the 58607-th square number.

3434780449 is the 29304-th centered octagonal number.

It is an amenable number.

3434780449 is a deficient number, since it is larger than the sum of its proper divisors (39777554).

3434780449 is an frugal number, since it uses more digits than its factorization.

3434780449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The cubic root of 3434780449 is about 1508.8045812641.

The spelling of 3434780449 in words is "three billion, four hundred thirty-four million, seven hundred eighty thousand, four hundred forty-nine".

Divisors: 1 103 569 10609 58607 323761 6036521 33347383 3434780449