Search a number
-
+
3395354112 = 29341931139
BaseRepresentation
bin1100101001100000…
…1111111000000000
322202121221212020000
43022120033320000
523423202312422
61320530120000
7150066014403
oct31230177000
98677855200
103395354112
111492652887
127a9120000
1342158a297
14242d1bd3a
1514d13acac
hexca60fe00

3395354112 has 400 divisors, whose sum is σ = 11090956800. Its totient is φ = 1030164480.

The previous prime is 3395354111. The next prime is 3395354113. The reversal of 3395354112 is 2114535933.

3395354112 is a `hidden beast` number, since 3 + 3 + 9 + 535 + 4 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (3395354111) and next prime (3395354113).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395354111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24426939 + ... + 24427077.

It is an arithmetic number, because the mean of its divisors is an integer number (27727392).

Almost surely, 23395354112 is an apocalyptic number.

3395354112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545478400).

3395354112 is an abundant number, since it is smaller than the sum of its proper divisors (7695602688).

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

3395354112 is a wasteful number, since it uses less digits than its factorization.

3395354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 194 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 3395354112 is about 58269.6671691198. The cubic root of 3395354112 is about 1503.0093823742.

The spelling of 3395354112 in words is "three billion, three hundred ninety-five million, three hundred fifty-four thousand, one hundred twelve".