Search a number
-
+
421656312 = 233711401569
BaseRepresentation
bin11001001000011…
…111011011111000
31002101102100201110
4121020133123320
51330421000222
6105501320320
713310006460
oct3110373370
91071370643
10421656312
111a70176a0
12b92660a0
136948489c
1440000ba0
152704030c
hex1921f6f8

421656312 has 128 divisors (see below), whose sum is σ = 1319846400. Its totient is φ = 109056000.

The previous prime is 421656311. The next prime is 421656337. The reversal of 421656312 is 213656124.

It is a self number, because there is not a number n which added to its sum of digits gives 421656312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421656311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740764 + ... + 741332.

It is an arithmetic number, because the mean of its divisors is an integer number (10311300).

Almost surely, 2421656312 is an apocalyptic number.

421656312 is a gapful number since it is divisible by the number (42) 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 421656312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659923200).

421656312 is an abundant number, since it is smaller than the sum of its proper divisors (898190088).

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

421656312 is a wasteful number, since it uses less digits than its factorization.

421656312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 421656312 is about 20534.2716452276. The cubic root of 421656312 is about 749.8703847122.

The spelling of 421656312 in words is "four hundred twenty-one million, six hundred fifty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 401 462 569 616 802 924 1138 1203 1604 1707 1848 2276 2406 2807 3208 3414 3983 4411 4552 4812 5614 6259 6828 7966 8421 8822 9624 11228 11949 12518 13233 13656 15932 16842 17644 18777 22456 23898 25036 26466 30877 31864 33684 35288 37554 43813 47796 50072 52932 61754 67368 75108 87626 92631 95592 105864 123508 131439 150216 175252 185262 228169 247016 262878 350504 370524 456338 525756 684507 741048 912676 1051512 1369014 1597183 1825352 2509859 2738028 3194366 4791549 5019718 5476056 6388732 7529577 9583098 10039436 12777464 15059154 17569013 19166196 20078872 30118308 35138026 38332392 52707039 60236616 70276052 105414078 140552104 210828156 421656312