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3353896 = 2371317271
BaseRepresentation
bin1100110010110100101000
320022101200101
430302310220
51324311041
6155515144
740336060
oct14626450
96271611
103353896
111990917
121158ab4
13905770
146343a0
15463b31
hex332d28

3353896 has 64 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 1244160.

The previous prime is 3353891. The next prime is 3353927. The reversal of 3353896 is 6983533.

3353896 = T1 + T2 + ... + T271.

3353896 is a nontrivial binomial coefficient, being equal to C(273, 3).

It is a super-2 number, since 2×33538962 = 22497236757632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353891) by changing a digit.

It is the 271-st tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12241 + ... + 12511.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 23353896 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 3353896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

3353896 is an abundant number, since it is smaller than the sum of its proper divisors (4871384).

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

3353896 is a wasteful number, since it uses less digits than its factorization.

3353896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its digits is 58320, while the sum is 37.

The square root of 3353896 is about 1831.3645186035. The cubic root of 3353896 is about 149.6866942003.

The spelling of 3353896 in words is "three million, three hundred fifty-three thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 271 364 442 476 542 728 884 952 1084 1547 1768 1897 2168 3094 3523 3794 4607 6188 7046 7588 9214 12376 14092 15176 18428 24661 28184 32249 36856 49322 59891 64498 98644 119782 128996 197288 239564 257992 419237 479128 838474 1676948 3353896