Search a number
-
+
422734464 = 273513591
BaseRepresentation
bin11001001100100…
…110101010000000
31002110110010200000
4121030212222000
51331210000324
6105540400000
713322116665
oct3114465200
91073403600
10422734464
111a7693729
12b96a6000
1369771549
1440201a6c
15271a49c9
hex19326a80

422734464 has 96 divisors (see below), whose sum is σ = 1261609440. Its totient is φ = 140901120.

The previous prime is 422734447. The next prime is 422734517. The reversal of 422734464 is 464437224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24309 + ... + 37899.

It is an arithmetic number, because the mean of its divisors is an integer number (13141765).

Almost surely, 2422734464 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 422734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630804720).

422734464 is an abundant number, since it is smaller than the sum of its proper divisors (838874976).

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

422734464 is an equidigital number, since it uses as much as digits as its factorization.

422734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13620 (or 13596 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 422734464 is about 20560.5073867354. The cubic root of 422734464 is about 750.5089665260.

The spelling of 422734464 in words is "four hundred twenty-two million, seven hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 13591 15552 27182 31104 40773 54364 81546 108728 122319 163092 217456 244638 326184 366957 434912 489276 652368 733914 869824 978552 1100871 1304736 1467828 1739648 1957104 2201742 2609472 2935656 3302613 3914208 4403484 5218944 5871312 6605226 7828416 8806968 11742624 13210452 15656832 17613936 23485248 26420904 35227872 46970496 52841808 70455744 105683616 140911488 211367232 422734464