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3345201104 = 247199771609
BaseRepresentation
bin1100011101100011…
…1011011111010000
322122010120211020012
43013120323133100
523322332413404
61311535134052
7145616511620
oct30730733720
98563524205
103345201104
111467308113
12794374328
1341407a34b
1423a3c4880
15148a30a6e
hexc763b7d0

3345201104 has 80 divisors (see below), whose sum is σ = 7809916800. Its totient is φ = 1355968512.

The previous prime is 3345201059. The next prime is 3345201109. The reversal of 3345201104 is 4011025433.

It is a super-2 number, since 2×33452011042 = 22380740852405637632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3345201104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345201109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2078252 + ... + 2079860.

It is an arithmetic number, because the mean of its divisors is an integer number (97623960).

Almost surely, 23345201104 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 3345201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904958400).

3345201104 is an abundant number, since it is smaller than the sum of its proper divisors (4464715696).

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

3345201104 is a wasteful number, since it uses less digits than its factorization.

3345201104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3345201104 is about 57837.7135094395. The cubic root of 3345201104 is about 1495.5722918676.

Adding to 3345201104 its reverse (4011025433), we get a palindrome (7356226537).

The spelling of 3345201104 in words is "three billion, three hundred forty-five million, two hundred one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 977 1064 1609 1954 2128 3218 3908 6436 6839 7816 11263 12872 13678 15632 18563 22526 25744 27356 30571 37126 45052 54712 61142 74252 90104 109424 122284 129941 148504 180208 213997 244568 259882 297008 427994 489136 519764 855988 1039528 1571993 1711976 2079056 3143986 3423952 6287972 11003951 12575944 22007902 25151888 29867867 44015804 59735734 88031608 119471468 176063216 209075069 238942936 418150138 477885872 836300276 1672600552 3345201104