Search a number
-
+
1934666640 = 2433517194759
BaseRepresentation
bin111001101010000…
…1010101110010000
311222211102020201000
41303110022232100
512430233313030
6515550342000
765641252344
oct16324125620
94884366630
101934666640
11903083755
1245baba900
1324aa8097a
14144d2d624
15b4ca9860
hex7350ab90

1934666640 has 640 divisors, whose sum is σ = 7713792000. Its totient is φ = 442589184.

The previous prime is 1934666627. The next prime is 1934666641. The reversal of 1934666640 is 466664391.

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 (1934666641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32790931 + ... + 32790989.

It is an arithmetic number, because the mean of its divisors is an integer number (12052800).

Almost surely, 21934666640 is an apocalyptic number.

1934666640 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 1934666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856896000).

1934666640 is an abundant number, since it is smaller than the sum of its proper divisors (5779125360).

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

1934666640 is a wasteful number, since it uses less digits than its factorization.

1934666640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 1934666640 is about 43984.8455720831. The cubic root of 1934666640 is about 1246.0497460787.

The spelling of 1934666640 in words is "one billion, nine hundred thirty-four million, six hundred sixty-six thousand, six hundred forty".