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1370367144 = 2332172294889
BaseRepresentation
bin101000110101110…
…0010010010101000
310112111120212022200
41101223202102220
510301303222034
6343551420200
745646633326
oct12153422250
93474525280
101370367144
1164359a133
12322b24660
1318aba4943
14cdddad16
158048ea99
hex51ae24a8

1370367144 has 96 divisors (see below), whose sum is σ = 3947697000. Its totient is φ = 427954176.

The previous prime is 1370367137. The next prime is 1370367151. The reversal of 1370367144 is 4417630731.

It is an interprime number because it is at equal distance from previous prime (1370367137) and next prime (1370367151).

It can be written as a sum of positive squares in 4 ways, for example, as 1351444644 + 18922500 = 36762^2 + 4350^2 .

It is a super-2 number, since 2×13703671442 = 3755812218709433472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1370367099 and 1370367108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 277852 + ... + 282740.

Almost surely, 21370367144 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 1370367144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973848500).

1370367144 is an abundant number, since it is smaller than the sum of its proper divisors (2577329856).

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

1370367144 is a wasteful number, since it uses less digits than its factorization.

1370367144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1370367144 is about 37018.4703087526. The cubic root of 1370367144 is about 1110.7397455134.

Adding to 1370367144 its reverse (4417630731), we get a palindrome (5787997875).

The spelling of 1370367144 in words is "one billion, three hundred seventy million, three hundred sixty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 229 306 408 458 612 687 916 1224 1374 1832 2061 2748 3893 4122 4889 5496 7786 8244 9778 11679 14667 15572 16488 19556 23358 29334 31144 35037 39112 44001 46716 58668 70074 83113 88002 93432 117336 140148 166226 176004 249339 280296 332452 352008 498678 664904 748017 997356 1119581 1496034 1994712 2239162 2992068 3358743 4478324 5984136 6717486 8956648 10076229 13434972 19032877 20152458 26869944 38065754 40304916 57098631 76131508 80609832 114197262 152263016 171295893 228394524 342591786 456789048 685183572 1370367144