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2340024144 = 243239203977
BaseRepresentation
bin1000101101111001…
…1110111101010000
320001002011112122220
42023132132331100
514243021233034
61024110501040
7111662606553
oct21336367520
96032145586
102340024144
11aa0978857
12553804780
132b3a49993
14182aca69a
15da67a749
hex8b79ef50

2340024144 has 40 divisors (see below), whose sum is σ = 6070385280. Its totient is φ = 776740608.

The previous prime is 2340024139. The next prime is 2340024157. The reversal of 2340024144 is 4414200432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90517 + ... + 113460.

It is an arithmetic number, because the mean of its divisors is an integer number (151759632).

Almost surely, 22340024144 is an apocalyptic number.

2340024144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2340024144 is an abundant number, since it is smaller than the sum of its proper divisors (3730361136).

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

2340024144 is a wasteful number, since it uses less digits than its factorization.

2340024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204227 (or 204221 counting only the distinct ones).

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

The square root of 2340024144 is about 48373.7960470336. The cubic root of 2340024144 is about 1327.6189603318.

Adding to 2340024144 its reverse (4414200432), we get a palindrome (6754224576).

The spelling of 2340024144 in words is "two billion, three hundred forty million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 239 478 717 956 1434 1912 2868 3824 5736 11472 203977 407954 611931 815908 1223862 1631816 2447724 3263632 4895448 9790896 48750503 97501006 146251509 195002012 292503018 390004024 585006036 780008048 1170012072 2340024144