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427074368 = 2674123251
BaseRepresentation
bin11001011101001…
…010001101000000
31002202121121220012
4121131022031000
51333312334433
6110213404052
713404033530
oct3135121500
91082547805
10427074368
111aa088326
12bb039628
136a630a36
1440a114c0
1527760848
hex1974a340

427074368 has 56 divisors (see below), whose sum is σ = 992209344. Its totient is φ = 178560000.

The previous prime is 427074367. The next prime is 427074377. The reversal of 427074368 is 863470724.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427074367) 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, 6743 + ... + 29993.

It is an arithmetic number, because the mean of its divisors is an integer number (17718024).

Almost surely, 2427074368 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 427074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496104672).

427074368 is an abundant number, since it is smaller than the sum of its proper divisors (565134976).

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

427074368 is a wasteful number, since it uses less digits than its factorization.

427074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23311 (or 23301 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 427074368 is about 20665.7777013109. Note that the first 4 decimals coincide. The cubic root of 427074368 is about 753.0685352960.

The spelling of 427074368 in words is "four hundred twenty-seven million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 9184 18368 23251 46502 93004 162757 186008 325514 372016 651028 744032 953291 1302056 1488064 1906582 2604112 3813164 5208224 6673037 7626328 10416448 13346074 15252656 26692148 30505312 53384296 61010624 106768592 213537184 427074368