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421407336 = 233712719751
BaseRepresentation
bin11001000111100…
…010101001101000
31002100221201012010
4121013202221220
51330340013321
6105452115520
713304621550
oct3107425150
91070851163
10421407336
111a6967629
12b9165ba0
13693c846c
143dd78160
1526ee1676
hex191e2a68

421407336 has 64 divisors (see below), whose sum is σ = 1213562880. Its totient is φ = 119448000.

The previous prime is 421407331. The next prime is 421407341. The reversal of 421407336 is 633704124.

It is an interprime number because it is at equal distance from previous prime (421407331) and next prime (421407341).

It is a super-3 number, since 3×4214073363 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (421407331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11461 + ... + 31211.

It is an arithmetic number, because the mean of its divisors is an integer number (18961920).

Almost surely, 2421407336 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 421407336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606781440).

421407336 is an abundant number, since it is smaller than the sum of its proper divisors (792155544).

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

421407336 is a wasteful number, since it uses less digits than its factorization.

421407336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19894 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 421407336 is about 20528.2082998005. The cubic root of 421407336 is about 749.7227633102.

The spelling of 421407336 in words is "four hundred twenty-one million, four hundred seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2667 3048 3556 5334 7112 10668 19751 21336 39502 59253 79004 118506 138257 158008 237012 276514 414771 474024 553028 829542 1106056 1659084 2508377 3318168 5016754 7525131 10033508 15050262 17558639 20067016 30100524 35117278 52675917 60201048 70234556 105351834 140469112 210703668 421407336