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3498005385 = 33572528799
BaseRepresentation
bin1101000001111111…
…0101001110001001
3100000210010002022000
43100133311032021
524130442133020
61335034221213
7152453361300
oct32037651611
910023102260
103498005385
111535595246
12817584809
1343991b794
142527dd437
15157166090
hexd07f5389

3498005385 has 48 divisors (see below), whose sum is σ = 7233984000. Its totient is φ = 1599085152.

The previous prime is 3498005341. The next prime is 3498005389. The reversal of 3498005385 is 5835008943.

It is a happy number.

3498005385 is a `hidden beast` number, since 34 + 9 + 80 + 0 + 538 + 5 = 666.

It is not a de Polignac number, because 3498005385 - 27 = 3498005257 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3498005385.

It is not an unprimeable number, because it can be changed into a prime (3498005389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257785 + ... + 271014.

It is an arithmetic number, because the mean of its divisors is an integer number (150708000).

Almost surely, 23498005385 is an apocalyptic number.

3498005385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3498005385 is an abundant number, since it is smaller than the sum of its proper divisors (3735978615).

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

3498005385 is a wasteful number, since it uses less digits than its factorization.

3498005385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528827 (or 528814 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3498005385 is about 59143.9378550330. The cubic root of 3498005385 is about 1518.0060108497.

The spelling of 3498005385 in words is "three billion, four hundred ninety-eight million, five thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 528799 1586397 2643995 3701593 4759191 7931985 11104779 14277573 18507965 23795955 25911151 33314337 55523895 71387865 77733453 99943011 129555755 166571685 233200359 388667265 499715055 699601077 1166001795 3498005385