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424032414 = 231341671979
BaseRepresentation
bin11001010001100…
…011100010011110
31002112220002010020
4121101203202132
51332023014124
6110024253010
713336134051
oct3121434236
91075802106
10424032414
111a839a913
12ba011166
1369b07270
144045ca98
152735e379
hex1946389e

424032414 has 64 divisors (see below), whose sum is σ = 950019840. Its totient is φ = 125326080.

The previous prime is 424032409. The next prime is 424032451. The reversal of 424032414 is 414230424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213277 + ... + 215255.

It is an arithmetic number, because the mean of its divisors is an integer number (14844060).

Almost surely, 2424032414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424032414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475009920).

424032414 is an abundant number, since it is smaller than the sum of its proper divisors (525987426).

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

424032414 is a wasteful number, since it uses less digits than its factorization.

424032414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 424032414 is about 20592.0473484304. The cubic root of 424032414 is about 751.2762944203.

Adding to 424032414 its reverse (414230424), we get a palindrome (838262838).

The spelling of 424032414 in words is "four hundred twenty-four million, thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 41 67 78 82 123 134 201 246 402 533 871 1066 1599 1742 1979 2613 2747 3198 3958 5226 5494 5937 8241 11874 16482 25727 35711 51454 71422 77181 81139 107133 132593 154362 162278 214266 243417 265186 397779 486834 795558 1054807 1723709 2109614 3164421 3447418 5171127 5436313 6328842 10342254 10872626 16308939 32617878 70672069 141344138 212016207 424032414