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1693074240 = 2632511134111
BaseRepresentation
bin110010011101010…
…0100001101000000
311100222211002020100
41210322210031000
511431411333430
6440000242400
756645615334
oct14472441500
94328732210
101693074240
11799772810
123b3010400
1320c9c30a0
14120c017c4
159d986960
hex64ea4340

1693074240 has 336 divisors, whose sum is σ = 6843223296. Its totient is φ = 378777600.

The previous prime is 1693074221. The next prime is 1693074247. The reversal of 1693074240 is 424703961.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1693074195 and 1693074204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1693074247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409785 + ... + 413895.

It is an arithmetic number, because the mean of its divisors is an integer number (20366736).

Almost surely, 21693074240 is an apocalyptic number.

1693074240 is a gapful number since it is divisible by the number (10) 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 1693074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421611648).

1693074240 is an abundant number, since it is smaller than the sum of its proper divisors (5150149056).

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

1693074240 is a wasteful number, since it uses less digits than its factorization.

1693074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1693074240 is about 41146.9833645190. The cubic root of 1693074240 is about 1191.8602451650.

The spelling of 1693074240 in words is "one billion, six hundred ninety-three million, seventy-four thousand, two hundred forty".