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396742170240 = 2732513172291361
BaseRepresentation
bin1011100010111111010…
…11010001011010000000
31101221001122101110201100
411301133223101122000
523000011443421430
6502132201334400
740443432543033
oct5613753213200
91357048343640
10396742170240
11143291680709
1264a84197400
132b549702620
14152b964301a
15a4c08c5960
hex5c5fad1680

396742170240 has 768 divisors, whose sum is σ = 1570146832800. Its totient is φ = 91446312960.

The previous prime is 396742170203. The next prime is 396742170247. The reversal of 396742170240 is 42071247693.

396742170240 is a `hidden beast` number, since 396 + 7 + 4 + 2 + 17 + 0 + 240 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 47688077376 + 349054092864 = 218376^2 + 590808^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (396742170247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291507160 + ... + 291508520.

Almost surely, 2396742170240 is an apocalyptic number.

396742170240 is a gapful number since it is divisible by the number (30) 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 396742170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785073416400).

396742170240 is an abundant number, since it is smaller than the sum of its proper divisors (1173404662560).

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

396742170240 is a wasteful number, since it uses less digits than its factorization.

396742170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 396742170240 in words is "three hundred ninety-six billion, seven hundred forty-two million, one hundred seventy thousand, two hundred forty".