Search a number
-
+
2434788828 = 223343524287
BaseRepresentation
bin1001000100011111…
…1110110111011100
320021200111002101000
42101013332313130
514441301220303
61041333550300
7114223235463
oct22107766734
96250432330
102434788828
11103a41397a
1257b4a5390
132ca579564
141915179da
15e3b48da3
hex911feddc

2434788828 has 48 divisors (see below), whose sum is σ = 6459228160. Its totient is φ = 792720432.

The previous prime is 2434788827. The next prime is 2434788859. The reversal of 2434788828 is 8288874342.

It is a super-2 number, since 2×24347888282 = 11856393273907227168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434788821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257500 + ... + 266787.

Almost surely, 22434788828 is an apocalyptic number.

It is an amenable number.

2434788828 is an abundant number, since it is smaller than the sum of its proper divisors (4024439332).

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

2434788828 is a wasteful number, since it uses less digits than its factorization.

2434788828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524343 (or 524335 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 2434788828 is about 49343.5793999584. The cubic root of 2434788828 is about 1345.3039998662.

The spelling of 2434788828 in words is "two billion, four hundred thirty-four million, seven hundred eighty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 524287 1048574 1572861 2097148 3145722 4718583 6291444 9437166 14155749 18874332 22544341 28311498 45088682 56622996 67633023 90177364 135266046 202899069 270532092 405798138 608697207 811596276 1217394414 2434788828