Search a number
-
+
3395509536 = 253371039281
BaseRepresentation
bin1100101001100011…
…0101110100100000
322202122020202102110
43022120311310200
523423222301121
61320533315320
7150100232466
oct31230656440
98678222373
103395509536
111492749631
127a9195b40
13421612c53
14242d5c836
1514d16bd76
hexca635d20

3395509536 has 96 divisors (see below), whose sum is σ = 9243980928. Its totient is φ = 1090437120.

The previous prime is 3395509529. The next prime is 3395509553. The reversal of 3395509536 is 6359055933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361216 + ... + 370496.

It is an arithmetic number, because the mean of its divisors is an integer number (96291468).

Almost surely, 23395509536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395509536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621990464).

3395509536 is an abundant number, since it is smaller than the sum of its proper divisors (5848471392).

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

3395509536 is a wasteful number, since it uses less digits than its factorization.

3395509536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 1640250, while the sum is 48.

The square root of 3395509536 is about 58271.0008151568. Note that the first 3 decimals coincide. The cubic root of 3395509536 is about 1503.0323156882.

The spelling of 3395509536 in words is "three billion, three hundred ninety-five million, five hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 103 111 148 206 222 296 309 412 444 592 618 824 888 1184 1236 1648 1776 2472 3296 3552 3811 4944 7622 9281 9888 11433 15244 18562 22866 27843 30488 37124 45732 55686 60976 74248 91464 111372 121952 148496 182928 222744 296992 343397 365856 445488 686794 890976 955943 1030191 1373588 1911886 2060382 2747176 2867829 3823772 4120764 5494352 5735658 7647544 8241528 10988704 11471316 15295088 16483056 22942632 30590176 32966112 35369891 45885264 70739782 91770528 106109673 141479564 212219346 282959128 424438692 565918256 848877384 1131836512 1697754768 3395509536