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4023430424 = 2313195934511
BaseRepresentation
bin1110111111010000…
…1010110100011000
3101101101210102221122
43233310022310120
531214444233144
61503124024412
7201463410566
oct35764126430
911341712848
104023430424
111785137912
12943532108
134c1736380
142a24d2a36
151883527ee
hexefd0ad18

4023430424 has 64 divisors (see below), whose sum is σ = 8697024000. Its totient is φ = 1729365120.

The previous prime is 4023430363. The next prime is 4023430487. The reversal of 4023430424 is 4240343204.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4023430393 and 4023430402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99329 + ... + 133839.

It is an arithmetic number, because the mean of its divisors is an integer number (135891000).

Almost surely, 24023430424 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 4023430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348512000).

4023430424 is an abundant number, since it is smaller than the sum of its proper divisors (4673593576).

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

4023430424 is a wasteful number, since it uses less digits than its factorization.

4023430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34608 (or 34604 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 4023430424 is about 63430.5165042821. The cubic root of 4023430424 is about 1590.4944764291.

Adding to 4023430424 its reverse (4240343204), we get a palindrome (8263773628).

The spelling of 4023430424 in words is "four billion, twenty-three million, four hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 19 26 38 52 59 76 104 118 152 236 247 472 494 767 988 1121 1534 1976 2242 3068 4484 6136 8968 14573 29146 34511 58292 69022 116584 138044 276088 448643 655709 897286 1311418 1794572 2036149 2622836 3589144 4072298 5245672 8144596 8524217 16289192 17048434 26469937 34096868 38686831 52939874 68193736 77373662 105879748 154747324 211759496 309494648 502928803 1005857606 2011715212 4023430424