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4023412440 = 23351729471447
BaseRepresentation
bin1110111111010000…
…0110011011011000
3101101101202112021120
43233310012123120
531214443144230
61503123405240
7201463304265
oct35764063330
911341675246
104023412440
111785125353
12943523820
134c172b128
142a24ca26c
1518834c310
hexefd066d8

4023412440 has 256 divisors, whose sum is σ = 13511577600. Its totient is φ = 953573376.

The previous prime is 4023412417. The next prime is 4023412493. The reversal of 4023412440 is 442143204.

It is a happy number.

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 4023412440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2779797 + ... + 2781243.

It is an arithmetic number, because the mean of its divisors is an integer number (52779600).

Almost surely, 24023412440 is an apocalyptic number.

4023412440 is a gapful number since it is divisible by the number (40) 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 4023412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755788800).

4023412440 is an abundant number, since it is smaller than the sum of its proper divisors (9488165160).

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

4023412440 is a wasteful number, since it uses less digits than its factorization.

4023412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4023412440 is about 63430.3747427051. The cubic root of 4023412440 is about 1590.4921066855.

Adding to 4023412440 its reverse (442143204), we get a palindrome (4465555644).

The spelling of 4023412440 in words is "four billion, twenty-three million, four hundred twelve thousand, four hundred forty".