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23430440 = 23511247103
BaseRepresentation
bin101100101100…
…0010100101000
31122002101112002
41121120110220
521444233230
62154110132
7403104215
oct131302450
948071462
1023430440
1112253700
127a1b348
134b14987
14317cb0c
1520cc545
hex1658528

23430440 has 96 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 8257920.

The previous prime is 23430431. The next prime is 23430443. The reversal of 23430440 is 4403432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23430443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227429 + ... + 227531.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 223430440 is an apocalyptic number.

23430440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 4840×4841.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

23430440 is an abundant number, since it is smaller than the sum of its proper divisors (36323800).

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

23430440 is a wasteful number, since it uses less digits than its factorization.

23430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 23430440 is about 4840.4999741762. The cubic root of 23430440 is about 286.1498228813.

Adding to 23430440 its reverse (4403432), we get a palindrome (27833872).

The spelling of 23430440 in words is "twenty-three million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 103 110 121 188 206 220 235 242 376 412 440 470 484 515 517 605 824 940 968 1030 1034 1133 1210 1880 2060 2068 2266 2420 2585 4120 4136 4532 4840 4841 5170 5665 5687 9064 9682 10340 11330 11374 12463 19364 20680 22660 22748 24205 24926 28435 38728 45320 45496 48410 49852 53251 56870 62315 96820 99704 106502 113740 124630 193640 213004 227480 249260 266255 426008 498520 532510 585761 1065020 1171522 2130040 2343044 2928805 4686088 5857610 11715220 23430440