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4382000240 = 245173222059
BaseRepresentation
bin1000001010011000…
…00000010001110000
3102022101111200021012
410011030000101300
532433243001430
62002453250052
7213406246622
oct40514002160
912271450235
104382000240
111949585702
12a23633928
1354ab00167
142d7d90c12
151a9a80695
hex105300470

4382000240 has 40 divisors (see below), whose sum is σ = 10787456880. Its totient is φ = 1649693696.

The previous prime is 4382000221. The next prime is 4382000261. The reversal of 4382000240 is 420002834.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×43820002402 = 38403852206720115200, which contains 22 as substring.

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, 1609670 + ... + 1612389.

It is an arithmetic number, because the mean of its divisors is an integer number (269686422).

Almost surely, 24382000240 is an apocalyptic number.

4382000240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4382000240 is an abundant number, since it is smaller than the sum of its proper divisors (6405456640).

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

4382000240 is a wasteful number, since it uses less digits than its factorization.

4382000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222089 (or 3222083 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4382000240 is about 66196.6784665213. The cubic root of 4382000240 is about 1636.4050045135.

The spelling of 4382000240 in words is "four billion, three hundred eighty-two million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 3222059 6444118 12888236 16110295 25776472 32220590 51552944 54775003 64441180 109550006 128882360 219100012 257764720 273875015 438200024 547750030 876400048 1095500060 2191000120 4382000240