Search a number
-
+
3013531776 = 2734290657
BaseRepresentation
bin1011001110011110…
…1101100010000000
321210000111021110000
42303213231202000
522132431004101
61215010240000
7134451411633
oct26347554200
97700437400
103013531776
111307073032
12701286000
133904417c8
14208329c1a
15129868486
hexb39ed880

3013531776 has 80 divisors (see below), whose sum is σ = 8968252590. Its totient is φ = 1004507136.

The previous prime is 3013531757. The next prime is 3013531777. The reversal of 3013531776 is 6771353103.

It is a happy number.

3013531776 is a `hidden beast` number, since 301 + 35 + 317 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2077171776 + 936360000 = 45576^2 + 30600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3013531776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013531777) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 134961 + ... + 155696.

Almost surely, 23013531776 is an apocalyptic number.

3013531776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3013531776 is an abundant number, since it is smaller than the sum of its proper divisors (5954720814).

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

3013531776 is an equidigital number, since it uses as much as digits as its factorization.

3013531776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290683 (or 290662 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 3013531776 is about 54895.6444173852. The cubic root of 3013531776 is about 1444.4147845551.

Adding to 3013531776 its reverse (6771353103), we get a palindrome (9784884879).

The spelling of 3013531776 in words is "three billion, thirteen million, five hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 290657 581314 871971 1162628 1743942 2325256 2615913 3487884 4650512 5231826 6975768 7847739 9301024 10463652 13951536 15695478 18602048 20927304 23543217 27903072 31390956 37204096 41854608 47086434 55806144 62781912 83709216 94172868 111612288 125563824 167418432 188345736 251127648 334836864 376691472 502255296 753382944 1004510592 1506765888 3013531776