Search a number
-
+
2433994304 = 26735315391
BaseRepresentation
bin1001000100010011…
…1100111001000000
320021121222201111012
42101010330321000
514441100304204
61041304540052
7114213416210
oct22104747100
96247881435
102433994304
111039a20a45
1257b181628
132ca35ba21
1419138c240
15e3a3d76e
hex9113ce40

2433994304 has 56 divisors (see below), whose sum is σ = 5535948288. Its totient is φ = 1040117760.

The previous prime is 2433994301. The next prime is 2433994309. The reversal of 2433994304 is 4034993342.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (2433994301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150449 + ... + 165839.

Almost surely, 22433994304 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 2433994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767974144).

2433994304 is an abundant number, since it is smaller than the sum of its proper divisors (3101953984).

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

2433994304 is a wasteful number, since it uses less digits than its factorization.

2433994304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15763 (or 15753 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 41.

The square root of 2433994304 is about 49335.5278070479. The cubic root of 2433994304 is about 1345.1576500623.

The spelling of 2433994304 in words is "two billion, four hundred thirty-three million, nine hundred ninety-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 353 448 706 1412 2471 2824 4942 5648 9884 11296 15391 19768 22592 30782 39536 61564 79072 107737 123128 158144 215474 246256 430948 492512 861896 985024 1723792 3447584 5433023 6895168 10866046 21732092 38031161 43464184 76062322 86928368 152124644 173856736 304249288 347713472 608498576 1216997152 2433994304