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421430440 = 23571179829
BaseRepresentation
bin11001000111101…
…000010010101000
31002100222212212211
4121013220102220
51330341233230
6105452414504
713305046114
oct3107502250
91070885784
10421430440
111a6982a22
12b9177434
1369405b32
143dd82744
1526ee842a
hex191e84a8

421430440 has 64 divisors (see below), whose sum is σ = 968112000. Its totient is φ = 165070080.

The previous prime is 421430437. The next prime is 421430441. The reversal of 421430440 is 44034124.

It is not an unprimeable number, because it can be changed into a prime (421430441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507946 + ... + 508774.

It is an arithmetic number, because the mean of its divisors is an integer number (15126750).

Almost surely, 2421430440 is an apocalyptic number.

421430440 is a gapful number since it is divisible by the number (40) 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 421430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484056000).

421430440 is an abundant number, since it is smaller than the sum of its proper divisors (546681560).

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

421430440 is a wasteful number, since it uses less digits than its factorization.

421430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 421430440 is about 20528.7710299472. The cubic root of 421430440 is about 749.7364644466.

Adding to 421430440 its reverse (44034124), we get a palindrome (465464564).

The spelling of 421430440 in words is "four hundred twenty-one million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 179 284 355 358 568 710 716 829 895 1420 1432 1658 1790 2840 3316 3580 4145 6632 7160 8290 12709 16580 25418 33160 50836 58859 63545 101672 117718 127090 148391 235436 254180 294295 296782 470872 508360 588590 593564 741955 1177180 1187128 1483910 2354360 2967820 5935640 10535761 21071522 42143044 52678805 84286088 105357610 210715220 421430440