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3398517090 = 2325172221253
BaseRepresentation
bin1100101010010001…
…0100000101100010
322202211220120000100
43022210110011202
523430010021330
61321122003230
7150134630043
oct31244240542
98684816010
103398517090
111494413211
127aa1a6516
13422126b77
142435028ca
1514d563060
hexca914162

3398517090 has 48 divisors (see below), whose sum is σ = 9355921848. Its totient is φ = 852960768.

The previous prime is 3398517071. The next prime is 3398517103. The reversal of 3398517090 is 907158933.

It is a happy number.

3398517090 is a `hidden beast` number, since 3 + 398 + 5 + 170 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2369839761 + 1028677329 = 48681^2 + 32073^2 .

It is a super-2 number, since 2×33985170902 = 23099836822044136200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1109097 + ... + 1112156.

Almost surely, 23398517090 is an apocalyptic number.

3398517090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3398517090 is an abundant number, since it is smaller than the sum of its proper divisors (5957404758).

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

3398517090 is a wasteful number, since it uses less digits than its factorization.

3398517090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221283 (or 2221280 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 3398517090 is about 58296.8017133016. The cubic root of 3398517090 is about 1503.4759522820.

The spelling of 3398517090 in words is "three billion, three hundred ninety-eight million, five hundred seventeen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 2221253 4442506 6663759 11106265 13327518 19991277 22212530 33318795 37761301 39982554 66637590 75522602 99956385 113283903 188806505 199912770 226567806 339851709 377613010 566419515 679703418 1132839030 1699258545 3398517090