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423216414 = 23461113379
BaseRepresentation
bin11001001110011…
…100010100011110
31002111100121210000
4121032130110132
51331320411124
6105554555130
713326165045
oct3116342436
91074317700
10423216414
111a7992835
12b9898aa6
13698aca1a
14402c955c
152724c6c9
hex1939c51e

423216414 has 80 divisors (see below), whose sum is σ = 974959920. Its totient is φ = 137168640.

The previous prime is 423216373. The next prime is 423216439. The reversal of 423216414 is 414612324.

It is a happy number.

423216414 is a `hidden beast` number, since 4 + 232 + 16 + 414 = 666.

It is a super-2 number, since 2×4232164142 = 358224266158038792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1116477 + ... + 1116855.

It is an arithmetic number, because the mean of its divisors is an integer number (12186999).

Almost surely, 2423216414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423216414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487479960).

423216414 is an abundant number, since it is smaller than the sum of its proper divisors (551743506).

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

423216414 is a wasteful number, since it uses less digits than its factorization.

423216414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 423216414 is about 20572.2243328231. The cubic root of 423216414 is about 750.7940709717.

Adding to 423216414 its reverse (414612324), we get a palindrome (837828738).

The spelling of 423216414 in words is "four hundred twenty-three million, two hundred sixteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 61 81 113 122 162 183 226 339 366 379 549 678 758 1017 1098 1137 1647 2034 2274 3051 3294 3411 4941 6102 6822 6893 9153 9882 10233 13786 18306 20466 20679 23119 30699 41358 42827 46238 61398 62037 69357 85654 124074 128481 138714 186111 208071 256962 372222 385443 416142 558333 624213 770886 1116666 1156329 1248426 1872639 2312658 2612447 3468987 3745278 5224894 6937974 7837341 15674682 23512023 47024046 70536069 141072138 211608207 423216414