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3423168 = 26337283
BaseRepresentation
bin1101000011101111000000
320102220201000
431003233000
51334020133
6201212000
741045040
oct15035700
96386630
103423168
111a28971
121191000
1392b158
14651720
15479413
hex343bc0

3423168 has 112 divisors (see below), whose sum is σ = 11541760. Its totient is φ = 974592.

The previous prime is 3423157. The next prime is 3423179. The reversal of 3423168 is 8613243.

It is a happy number.

3423168 is a `hidden beast` number, since 342 + 316 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3423157) and next prime (3423179).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11955 + ... + 12237.

Almost surely, 23423168 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 3423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770880).

3423168 is an abundant number, since it is smaller than the sum of its proper divisors (8118592).

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

3423168 is a wasteful number, since it uses less digits than its factorization.

3423168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3423168 is about 1850.1805317320. The cubic root of 3423168 is about 150.7102318307.

The spelling of 3423168 in words is "three million, four hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 283 288 336 378 432 448 504 566 576 672 756 849 864 1008 1132 1344 1512 1698 1728 1981 2016 2264 2547 3024 3396 3962 4032 4528 5094 5943 6048 6792 7641 7924 9056 10188 11886 12096 13584 15282 15848 17829 18112 20376 23772 27168 30564 31696 35658 40752 47544 53487 54336 61128 63392 71316 81504 95088 106974 122256 126784 142632 163008 190176 213948 244512 285264 380352 427896 489024 570528 855792 1141056 1711584 3423168