Search a number
-
+
1012230324 = 223373533793
BaseRepresentation
bin111100010101010…
…110100010110100
32121112200121222000
4330111112202310
54033112332244
6244235335300
734040546550
oct7425264264
92545617860
101012230324
1147a417696
12242bb1530
1313192cc71
1498612860
155dcea169
hex3c5568b4

1012230324 has 96 divisors (see below), whose sum is σ = 3008490240. Its totient is φ = 288313344.

The previous prime is 1012230311. The next prime is 1012230341. The reversal of 1012230324 is 4230322101.

1012230324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10122303242 = 2049220457650289952, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1012230297 and 1012230306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264972 + ... + 268764.

It is an arithmetic number, because the mean of its divisors is an integer number (31338440).

Almost surely, 21012230324 is an apocalyptic number.

1012230324 is a gapful number since it is divisible by the number (14) 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 1012230324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504245120).

1012230324 is an abundant number, since it is smaller than the sum of its proper divisors (1996259916).

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

1012230324 is a wasteful number, since it uses less digits than its factorization.

1012230324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1012230324 is about 31815.5673216745. The cubic root of 1012230324 is about 1004.0602665897.

Adding to 1012230324 its reverse (4230322101), we get a palindrome (5242552425).

The spelling of 1012230324 in words is "one billion, twelve million, two hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 353 378 706 756 1059 1412 2118 2471 3177 3793 4236 4942 6354 7413 7586 9531 9884 11379 12708 14826 15172 19062 22239 22758 26551 29652 34137 38124 44478 45516 53102 66717 68274 79653 88956 102411 106204 133434 136548 159306 204822 238959 266868 318612 409644 477918 716877 955836 1338929 1433754 2677858 2867508 4016787 5355716 8033574 9372503 12050361 16067148 18745006 24100722 28117509 36151083 37490012 48201444 56235018 72302166 84352527 112470036 144604332 168705054 253057581 337410108 506115162 1012230324