Search a number
-
+
3395405568 = 2835383417
BaseRepresentation
bin1100101001100001…
…1100011100000000
322202122001110210210
43022120130130000
523423210434233
61320531154120
7150066320412
oct31230343400
98678043723
103395405568
111492688505
127a9145940
134215a7829
14242d329b2
1514d14b163
hexca61c700

3395405568 has 72 divisors (see below), whose sum is σ = 9207345168. Its totient is φ = 1110433792.

The previous prime is 3395405549. The next prime is 3395405569. The reversal of 3395405568 is 8655045933.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395405569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005 + ... + 82412.

It is an arithmetic number, because the mean of its divisors is an integer number (127879794).

Almost surely, 23395405568 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 3395405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603672584).

3395405568 is an abundant number, since it is smaller than the sum of its proper divisors (5811939600).

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

3395405568 is an equidigital number, since it uses as much as digits as its factorization.

3395405568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83489 (or 83475 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The square root of 3395405568 is about 58270.1087007738. The cubic root of 3395405568 is about 1503.0169749509.

The spelling of 3395405568 in words is "three billion, three hundred ninety-five million, four hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 5088 6784 10176 13568 20352 40704 83417 166834 250251 333668 500502 667336 1001004 1334672 2002008 2669344 4004016 4421101 5338688 8008032 8842202 10677376 13263303 16016064 17684404 21354752 26526606 32032128 35368808 53053212 64064256 70737616 106106424 141475232 212212848 282950464 424425696 565900928 848851392 1131801856 1697702784 3395405568