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2434770052 = 22111329373967
BaseRepresentation
bin1001000100011111…
…1010010010000100
320021200110010121121
42101013322102010
514441300120202
61041333323324
7114223126651
oct22107722204
96250403547
102434770052
11103a400860
1257b496544
132ca570b50
14191510c28
15e3b43537
hex911fa484

2434770052 has 96 divisors (see below), whose sum is σ = 5319659520. Its totient is φ = 959454720.

The previous prime is 2434770031. The next prime is 2434770053. The reversal of 2434770052 is 2500774342.

It is a super-2 number, since 2×24347700522 = 11856210412232165408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2434770053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611773 + ... + 615739.

It is an arithmetic number, because the mean of its divisors is an integer number (55413120).

Almost surely, 22434770052 is an apocalyptic number.

2434770052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2434770052 is an abundant number, since it is smaller than the sum of its proper divisors (2884889468).

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

2434770052 is a wasteful number, since it uses less digits than its factorization.

2434770052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 2434770052 is about 49343.3891418091. The cubic root of 2434770052 is about 1345.3005417301.

The spelling of 2434770052 in words is "two billion, four hundred thirty-four million, seven hundred seventy thousand, fifty-two".

Divisors: 1 2 4 11 13 22 26 29 37 44 52 58 74 116 143 148 286 319 377 407 481 572 638 754 814 962 1073 1276 1508 1628 1924 2146 3967 4147 4292 5291 7934 8294 10582 11803 13949 15868 16588 21164 23606 27898 43637 47212 51571 55796 87274 103142 115043 146779 153439 174548 206284 230086 293558 306878 460172 567281 587116 613756 1134562 1265473 1495559 1614569 1908127 2269124 2530946 2991118 3229138 3816254 4256591 5061892 5982236 6458276 7632508 8513182 16451149 17026364 20989397 32902298 41978794 46822501 55335683 65804596 83957588 93645002 110671366 187290004 221342732 608692513 1217385026 2434770052