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3488145409 = 72543713093
BaseRepresentation
bin1100111111101000…
…1110000000000001
3100000002120010221201
43033322032000001
524120431123114
61334043021201
7152303514100
oct31772160001
910002503851
103488145409
11152aa70301
1281420a801
13437878888
14251394037
15156369874
hexcfe8e001

3488145409 has 12 divisors (see below), whose sum is σ = 4058694804. Its totient is φ = 2989060704.

The previous prime is 3488145407. The next prime is 3488145443. The reversal of 3488145409 is 9045418843.

It can be written as a sum of positive squares in 2 ways, for example, as 2631997809 + 856147600 = 51303^2 + 29260^2 .

It is not a de Polignac number, because 3488145409 - 21 = 3488145407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3488145407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259867 + ... + 272959.

It is an arithmetic number, because the mean of its divisors is an integer number (338224567).

Almost surely, 23488145409 is an apocalyptic number.

It is an amenable number.

3488145409 is a deficient number, since it is larger than the sum of its proper divisors (570549395).

3488145409 is a wasteful number, since it uses less digits than its factorization.

3488145409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18544 (or 18537 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 3488145409 is about 59060.5232706247. The cubic root of 3488145409 is about 1516.5783793447.

The spelling of 3488145409 in words is "three billion, four hundred eighty-eight million, one hundred forty-five thousand, four hundred nine".

Divisors: 1 7 49 5437 13093 38059 91651 266413 641557 71186641 498306487 3488145409