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3768968 = 2371737107
BaseRepresentation
bin1110011000001010001000
321002111001102
432120022020
51431101333
6212440532
744015150
oct16301210
97074042
103768968
112144755
121319148
13a1c678
14701760
154e6ae8
hex398288

3768968 has 64 divisors (see below), whose sum is σ = 8864640. Its totient is φ = 1465344.

The previous prime is 3768967. The next prime is 3768971. The reversal of 3768968 is 8698673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768967) 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, 35171 + ... + 35277.

It is an arithmetic number, because the mean of its divisors is an integer number (138510).

Almost surely, 23768968 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 3768968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432320).

3768968 is an abundant number, since it is smaller than the sum of its proper divisors (5095672).

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

3768968 is a wasteful number, since it uses less digits than its factorization.

3768968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 3768968 is about 1941.3830121849. The cubic root of 3768968 is about 155.6231314862.

The spelling of 3768968 in words is "three million, seven hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 37 56 68 74 107 119 136 148 214 238 259 296 428 476 518 629 749 856 952 1036 1258 1498 1819 2072 2516 2996 3638 3959 4403 5032 5992 7276 7918 8806 12733 14552 15836 17612 25466 27713 31672 35224 50932 55426 67303 101864 110852 134606 221704 269212 471121 538424 942242 1884484 3768968