Search a number
-
+
240300003042 = 232116731803323
BaseRepresentation
bin1101111111001011111…
…1110000111011100010
3211222020220211221210200
43133302333300323202
512414113300044132
6302220423010030
723234600216151
oct3376277607342
9758226757720
10240300003042
1192a020a5a40
123a6a3b99916
13198775a0a18
14b8b8463598
1563b646ad7c
hex37f2ff0ee2

240300003042 has 48 divisors (see below), whose sum is σ = 568826095968. Its totient is φ = 72709943040.

The previous prime is 240300003023. The next prime is 240300003061.

240300003042 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (240300003023) and next prime (240300003061).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768408 + ... + 1034915.

It is an arithmetic number, because the mean of its divisors is an integer number (11850543666).

Almost surely, 2240300003042 is an apocalyptic number.

240300003042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

240300003042 is an abundant number, since it is smaller than the sum of its proper divisors (328526092926).

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

240300003042 is a wasteful number, since it uses less digits than its factorization.

240300003042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804015 (or 1804012 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 24030000 and 3042, that added together give a palindrome (24033042).

The spelling of 240300003042 in words is "two hundred forty billion, three hundred million, three thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 673 1346 2019 4038 6057 7403 12114 14806 22209 44418 66627 133254 1803323 3606646 5409969 10819938 16229907 19836553 32459814 39673106 59509659 119019318 178528977 357057954 1213636379 2427272758 3640909137 7281818274 10922727411 13350000169 21845454822 26700000338 40050000507 80100001014 120150001521 240300003042