Search a number
-
+
1345442364 = 2232719793557
BaseRepresentation
bin101000000110001…
…1101001000111100
310110202200112221200
41100030131020330
510223413123424
6341301255500
745225033330
oct12014351074
93422615850
101345442364
11630515842
12316704590
13185988a56
14ca98d7c0
157d1b98c9
hex5031d23c

1345442364 has 144 divisors (see below), whose sum is σ = 4144358400. Its totient is φ = 359468928.

The previous prime is 1345442363. The next prime is 1345442369. The reversal of 1345442364 is 4632445431.

1345442364 is a `hidden beast` number, since 1 + 34 + 544 + 23 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345442363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376474 + ... + 380030.

Almost surely, 21345442364 is an apocalyptic number.

1345442364 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 1345442364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072179200).

1345442364 is an abundant number, since it is smaller than the sum of its proper divisors (2798916036).

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

1345442364 is a wasteful number, since it uses less digits than its factorization.

1345442364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3667 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 1345442364 is about 36680.2721363951. The cubic root of 1345442364 is about 1103.9643084712.

Adding to 1345442364 its reverse (4632445431), we get a palindrome (5977887795).

The spelling of 1345442364 in words is "one billion, three hundred forty-five million, four hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 79 84 114 126 133 158 171 228 237 252 266 316 342 399 474 532 553 684 711 798 948 1106 1197 1422 1501 1596 1659 2212 2394 2844 3002 3318 3557 4503 4788 4977 6004 6636 7114 9006 9954 10507 10671 13509 14228 18012 19908 21014 21342 24899 27018 31521 32013 42028 42684 49798 54036 63042 64026 67583 74697 94563 99596 126084 128052 135166 149394 189126 202749 224091 270332 281003 298788 378252 405498 448182 473081 562006 608247 810996 843009 896364 946162 1124012 1216494 1419243 1686018 1892324 1967021 2432988 2529027 2838486 3372036 3934042 4257729 5058054 5339057 5676972 5901063 7868084 8515458 10116108 10678114 11802126 16017171 17030916 17703189 21356228 23604252 32034342 35406378 37373399 48051513 64068684 70812756 74746798 96103026 112120197 149493596 192206052 224240394 336360591 448480788 672721182 1345442364