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2434103300 = 2252196719121
BaseRepresentation
bin1001000100010101…
…0111100000000100
320021122012021000002
42101011113200010
514441112301200
61041311140432
7114214352036
oct22105274004
96248167002
102434103300
111039a95922
1257b214718
132ca399515
141913b9c56
15e3a60bd5
hex91157804

2434103300 has 72 divisors (see below), whose sum is σ = 5643284640. Its totient is φ = 908582400.

The previous prime is 2434103297. The next prime is 2434103383. The reversal of 2434103300 is 33014342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117740 + ... + 136860.

Almost surely, 22434103300 is an apocalyptic number.

2434103300 is a gapful number since it is divisible by the number (20) 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 2434103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821642320).

2434103300 is an abundant number, since it is smaller than the sum of its proper divisors (3209181340).

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

2434103300 is a wasteful number, since it uses less digits than its factorization.

2434103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19221 (or 19214 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2434103300 is about 49336.6324347335. The cubic root of 2434103300 is about 1345.1777288021.

Adding to 2434103300 its reverse (33014342), we get a palindrome (2467117642).

The spelling of 2434103300 in words is "two billion, four hundred thirty-four million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 67 76 95 100 134 190 268 335 380 475 670 950 1273 1340 1675 1900 2546 3350 5092 6365 6700 12730 19121 25460 31825 38242 63650 76484 95605 127300 191210 363299 382420 478025 726598 956050 1281107 1453196 1816495 1912100 2562214 3632990 5124428 6405535 7265980 9082475 12811070 18164950 24341033 25622140 32027675 36329900 48682066 64055350 97364132 121705165 128110700 243410330 486820660 608525825 1217051650 2434103300