Search a number
-
+
2046394368 = 21535257
BaseRepresentation
bin111100111111001…
…1000000000000000
312021121122121100000
41321332120000000
513142334104433
6535021200000
7101466031224
oct17176300000
95247577300
102046394368
11960155417
12491400000
13267c6c555
14155ad4784
15be9c9113
hex79f98000

2046394368 has 192 divisors, whose sum is σ = 6154522920. Its totient is φ = 679477248.

The previous prime is 2046394319. The next prime is 2046394369. The reversal of 2046394368 is 8634936402.

2046394368 is a `hidden beast` number, since 2 + 0 + 4 + 639 + 4 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046394369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7962496 + ... + 7962752.

Almost surely, 22046394368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2046394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077261460).

2046394368 is an abundant number, since it is smaller than the sum of its proper divisors (4108128552).

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

2046394368 is an frugal number, since it uses more digits than its factorization.

2046394368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2046394368 is about 45237.0906226296. The cubic root of 2046394368 is about 1269.5888821608.

The spelling of 2046394368 in words is "two billion, forty-six million, three hundred ninety-four thousand, three hundred sixty-eight".