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421974 = 232717197
BaseRepresentation
bin1100111000001010110
3210102211200
41213001112
5102000344
613013330
73405150
oct1470126
9712750
10421974
11269043
12184246
1311a0b7
14adad0
1585069
hex67056

421974 has 48 divisors (see below), whose sum is σ = 1111968. Its totient is φ = 112896.

The previous prime is 421973. The next prime is 421987. The reversal of 421974 is 479124.

It is a happy number.

421974 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2044 + ... + 2240.

It is an arithmetic number, because the mean of its divisors is an integer number (23166).

2421974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555984).

421974 is an abundant number, since it is smaller than the sum of its proper divisors (689994).

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

421974 is a wasteful number, since it uses less digits than its factorization.

421974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 421974 is about 649.5952586034. The cubic root of 421974 is about 75.0058662078.

It can be divided in two parts, 42 and 1974, that added together give a triangular number (2016 = T63).

The spelling of 421974 in words is "four hundred twenty-one thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 197 238 306 357 394 591 714 1071 1182 1379 1773 2142 2758 3349 3546 4137 6698 8274 10047 12411 20094 23443 24822 30141 46886 60282 70329 140658 210987 421974