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40072347 = 33734327
BaseRepresentation
bin1001100011011…
…1010010011011
32210101212221000
42120313102123
540224303342
63550520043
7664416000
oct230672233
983355830
1040072347
112068aa47
1211506023
1383c0763
1454718a7
1537b844c
hex263749b

40072347 has 32 divisors (see below), whose sum is σ = 69248000. Its totient is φ = 22893192.

The previous prime is 40072343. The next prime is 40072379. The reversal of 40072347 is 74327004.

It is not a de Polignac number, because 40072347 - 22 = 40072343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40072347.

It is not an unprimeable number, because it can be changed into a prime (40072343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7098 + ... + 11424.

It is an arithmetic number, because the mean of its divisors is an integer number (2164000).

Almost surely, 240072347 is an apocalyptic number.

40072347 is a deficient number, since it is larger than the sum of its proper divisors (29175653).

40072347 is an equidigital number, since it uses as much as digits as its factorization.

40072347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 40072347 is about 6330.2722690260. The cubic root of 40072347 is about 342.2012512019.

The spelling of 40072347 in words is "forty million, seventy-two thousand, three hundred forty-seven".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 4327 9261 12981 30289 38943 90867 116829 212023 272601 636069 817803 1484161 1908207 4452483 5724621 13357449 40072347