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1940379714 = 23272133153103
BaseRepresentation
bin111001110100111…
…1101100001000010
312000020011111120100
41303221331201002
512433214122324
6520313023230
766040645500
oct16351754102
95006144510
101940379714
11906325aa9
124619b4b16
1324c0011a0
141459b9670
15b55374c9
hex73a7d842

1940379714 has 288 divisors, whose sum is σ = 5592996864. Its totient is φ = 481178880.

The previous prime is 1940379709. The next prime is 1940379719. The reversal of 1940379714 is 4179730491.

1940379714 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1940379709) and next prime (1940379719).

It is a self number, because there is not a number n which added to its sum of digits gives 1940379714.

It is not an unprimeable number, because it can be changed into a prime (1940379719) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18838587 + ... + 18838689.

It is an arithmetic number, because the mean of its divisors is an integer number (19420128).

Almost surely, 21940379714 is an apocalyptic number.

1940379714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940379714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796498432).

1940379714 is an abundant number, since it is smaller than the sum of its proper divisors (3652617150).

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

1940379714 is a wasteful number, since it uses less digits than its factorization.

1940379714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1940379714 is about 44049.7413613292. The cubic root of 1940379714 is about 1247.2750697740.

The spelling of 1940379714 in words is "one billion, nine hundred forty million, three hundred seventy-nine thousand, seven hundred fourteen".