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1412323668 = 223372318609
BaseRepresentation
bin101010000101110…
…0101100101010100
310122102112110212000
41110023211211110
510343023324133
6352050555300
746666360500
oct12413454524
93572473760
101412323668
11665246748
12334b98b30
131967a4ba2
14d57dd300
1583ecb413
hex542e5954

1412323668 has 144 divisors (see below), whose sum is σ = 4397299200. Its totient is φ = 390458880.

The previous prime is 1412323631. The next prime is 1412323673. The reversal of 1412323668 is 8663232141.

1412323668 is a `hidden beast` number, since 1 + 412 + 3 + 236 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159748 + ... + 168356.

It is an arithmetic number, because the mean of its divisors is an integer number (30536800).

Almost surely, 21412323668 is an apocalyptic number.

1412323668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412323668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198649600).

1412323668 is an abundant number, since it is smaller than the sum of its proper divisors (2984975532).

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

1412323668 is a wasteful number, since it uses less digits than its factorization.

1412323668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8652 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1412323668 is about 37580.8949866817. The cubic root of 1412323668 is about 1121.9618220302.

The spelling of 1412323668 in words is "one billion, four hundred twelve million, three hundred twenty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 372 378 434 441 558 588 651 756 837 868 882 1116 1302 1323 1519 1674 1764 1953 2604 2646 3038 3348 3906 4557 5292 5859 6076 7812 8609 9114 11718 13671 17218 18228 23436 25827 27342 34436 41013 51654 54684 60263 77481 82026 103308 120526 154962 164052 180789 232443 241052 266879 309924 361578 421841 464886 533758 542367 723156 800637 843682 929772 1067516 1084734 1265523 1601274 1627101 1687364 1868153 2169468 2401911 2531046 3202548 3254202 3736306 3796569 4803822 5062092 5604459 6508404 7205733 7472612 7593138 9607644 11208918 11389707 13077071 14411466 15186276 16813377 22417836 22779414 26154142 28822932 33626754 39231213 45558828 50440131 52308284 67253508 78462426 100880262 117693639 156924852 201760524 235387278 353080917 470774556 706161834 1412323668