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4231416 = 233789283
BaseRepresentation
bin10000001001000011111000
321221222102010
4100021003320
52040401131
6230405520
750652330
oct20110370
97858363
104231416
112430142
1215008a0
13b51cc7
147c20c0
15588b46
hex4090f8

4231416 has 64 divisors (see below), whose sum is σ = 12268800. Its totient is φ = 1191168.

The previous prime is 4231399. The next prime is 4231417. The reversal of 4231416 is 6141324.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4231392 and 4231401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231417) 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, 14811 + ... + 15093.

It is an arithmetic number, because the mean of its divisors is an integer number (191700).

Almost surely, 24231416 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 4231416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134400).

4231416 is an abundant number, since it is smaller than the sum of its proper divisors (8037384).

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

4231416 is a wasteful number, since it uses less digits than its factorization.

4231416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 4231416 is about 2057.0405926962. The cubic root of 4231416 is about 161.7441472703.

The spelling of 4231416 in words is "four million, two hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 283 356 534 566 623 712 849 1068 1132 1246 1698 1869 1981 2136 2264 2492 3396 3738 3962 4984 5943 6792 7476 7924 11886 14952 15848 23772 25187 47544 50374 75561 100748 151122 176309 201496 302244 352618 528927 604488 705236 1057854 1410472 2115708 4231416