[go: up one dir, main page]

Search a number
-
+
1215330324 = 2231331475347
BaseRepresentation
bin100100001110000…
…0111100000010100
310010200212011210020
41020130013200110
54442111032244
6320332425140
742055065045
oct11034074024
93120764706
101215330324
1157402772a
1229b0181b0
13164a31290
14b75a08cc
1571a67d19
hex48707814

1215330324 has 96 divisors (see below), whose sum is σ = 3220094976. Its totient is φ = 354119040.

The previous prime is 1215330317. The next prime is 1215330329. The reversal of 1215330324 is 4230335121.

It is a super-4 number, since 4×12153303244 (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1215330294 and 1215330303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215330329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 224619 + ... + 229965.

It is an arithmetic number, because the mean of its divisors is an integer number (33542656).

Almost surely, 21215330324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1215330324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610047488).

1215330324 is an abundant number, since it is smaller than the sum of its proper divisors (2004764652).

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

1215330324 is a wasteful number, since it uses less digits than its factorization.

1215330324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1215330324 is about 34861.5880877507. The cubic root of 1215330324 is about 1067.1646844140.

Adding to 1215330324 its reverse (4230335121), we get a palindrome (5445665445).

The spelling of 1215330324 in words is "one billion, two hundred fifteen million, three hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 47 52 62 78 93 94 124 141 156 186 188 282 372 403 564 611 806 1209 1222 1457 1612 1833 2418 2444 2914 3666 4371 4836 5347 5828 7332 8742 10694 16041 17484 18941 21388 32082 37882 56823 64164 69511 75764 113646 139022 165757 208533 227292 251309 278044 331514 417066 497271 502618 663028 753927 834132 994542 1005236 1507854 1989084 2154841 3015708 3267017 4309682 6464523 6534034 7790579 8619364 9801051 12929046 13068068 15581158 19602102 23371737 25858092 31162316 39204204 46743474 93486948 101277527 202555054 303832581 405110108 607665162 1215330324