Search a number
-
+
623401440 = 25353833391
BaseRepresentation
bin100101001010000…
…101100111100000
31121110001002000020
4211022011213200
52234042321230
6141505353440
721306552624
oct4512054740
91543032006
10623401440
1129a991802
12154938880
139c2002bc
145cb19184
1539ae1810
hex252859e0

623401440 has 96 divisors (see below), whose sum is σ = 1969422336. Its totient is φ = 165757440.

The previous prime is 623401439. The next prime is 623401447. The reversal of 623401440 is 44104326.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 623401440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623401447) 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, 182145 + ... + 185535.

It is an arithmetic number, because the mean of its divisors is an integer number (20514816).

Almost surely, 2623401440 is an apocalyptic number.

623401440 is a gapful number since it is divisible by the number (60) 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 623401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984711168).

623401440 is an abundant number, since it is smaller than the sum of its proper divisors (1346020896).

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

623401440 is a wasteful number, since it uses less digits than its factorization.

623401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 623401440 is about 24968.0083306619. The cubic root of 623401440 is about 854.2584178842.

Adding to 623401440 its reverse (44104326), we get a palindrome (667505766).

The spelling of 623401440 in words is "six hundred twenty-three million, four hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 383 480 766 1149 1532 1915 2298 3064 3391 3830 4596 5745 6128 6782 7660 9192 10173 11490 12256 13564 15320 16955 18384 20346 22980 27128 30640 33910 36768 40692 45960 50865 54256 61280 67820 81384 91920 101730 108512 135640 162768 183840 203460 271280 325536 406920 542560 813840 1298753 1627680 2597506 3896259 5195012 6493765 7792518 10390024 12987530 15585036 19481295 20780048 25975060 31170072 38962590 41560096 51950120 62340144 77925180 103900240 124680288 155850360 207800480 311700720 623401440