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3460145329 = 5929972
BaseRepresentation
bin1100111000111101…
…1010000010110001
322221010212121001201
43032033122002301
524041244122304
61331202531201
7151513515154
oct31617320261
98833777051
103460145329
111516186443
12806966b01
13431b23c94
1424b785c9b
15153b883a4
hexce3da0b1

3460145329 has 9 divisors (see below), whose sum is σ = 3523319787. Its totient is φ = 3398087064.

The previous prime is 3460145279. The next prime is 3460145389. The reversal of 3460145329 is 9235410643.

The square root of 3460145329 is 58823.

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

3460145329 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., 2978430625 + 481714704 = 54575^2 + 21948^2 .

It is not a de Polignac number, because 3460145329 - 221 = 3458048177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3460145389) 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, 3470059 + ... + 3471055.

Almost surely, 23460145329 is an apocalyptic number.

3460145329 is the 58823-rd square number.

3460145329 is the 29412-nd centered octagonal number.

It is an amenable number.

3460145329 is a deficient number, since it is larger than the sum of its proper divisors (63174458).

3460145329 is an frugal number, since it uses more digits than its factorization.

3460145329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The cubic root of 3460145329 is about 1512.5095076150.

The spelling of 3460145329 in words is "three billion, four hundred sixty million, one hundred forty-five thousand, three hundred twenty-nine".

Divisors: 1 59 997 3481 58823 994009 3470557 58646531 3460145329