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3405415509 = 322937352637
BaseRepresentation
bin1100101011111010…
…1000010001010101
322210022220000212100
43022332220101111
523433241244014
61321525512313
7150250361046
oct31276502125
98708800770
103405415509
1114982a5091
127b0572699
134236a0a82
142443ba8cd
1514de77009
hexcafa8455

3405415509 has 24 divisors (see below), whose sum is σ = 5226095160. Its totient is φ = 2132742528.

The previous prime is 3405415493. The next prime is 3405415523. The reversal of 3405415509 is 9055145043.

3405415509 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 4 ways, for example, as 586124100 + 2819291409 = 24210^2 + 53097^2 .

It is not a de Polignac number, because 3405415509 - 24 = 3405415493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405415589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166662 + ... + 185975.

It is an arithmetic number, because the mean of its divisors is an integer number (217753965).

Almost surely, 23405415509 is an apocalyptic number.

It is an amenable number.

3405415509 is a deficient number, since it is larger than the sum of its proper divisors (1820679651).

3405415509 is a wasteful number, since it uses less digits than its factorization.

3405415509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352709 (or 352706 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 3405415509 is about 58355.9380783138. The cubic root of 3405415509 is about 1504.4925326673.

The spelling of 3405415509 in words is "three billion, four hundred five million, four hundred fifteen thousand, five hundred nine".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 9657 352637 1057911 3173733 10226473 13047569 30679419 39142707 92038257 117428121 378379501 1135138503 3405415509