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15342134340 = 2235133116387
BaseRepresentation
bin11100100100111011…
…00110010001000100
31110121012221011202210
432102131212101010
5222410041244330
611014215103420
71052122663431
oct162235462104
943535834683
1015342134340
116563264675
122b82071b70
1315a66aa000
14a57844b88
155ebd978b0
hex392766444

15342134340 has 96 divisors (see below), whose sum is σ = 46536577920. Its totient is φ = 3776492928.

The previous prime is 15342134333. The next prime is 15342134341. The reversal of 15342134340 is 4343124351.

It is a super-2 number, since 2×153421343402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15342134298 and 15342134307.

It is not an unprimeable number, because it can be changed into a prime (15342134341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73627 + ... + 190013.

It is an arithmetic number, because the mean of its divisors is an integer number (484756020).

Almost surely, 215342134340 is an apocalyptic number.

15342134340 is a gapful number since it is divisible by the number (10) 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 15342134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23268288960).

15342134340 is an abundant number, since it is smaller than the sum of its proper divisors (31194443580).

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

15342134340 is a wasteful number, since it uses less digits than its factorization.

15342134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116438 (or 116410 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 15342134340 its reverse (4343124351), we get a palindrome (19685258691).

The spelling of 15342134340 in words is "fifteen billion, three hundred forty-two million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2197 2535 3380 4394 5070 6591 8788 10140 10985 13182 21970 26364 32955 43940 65910 116387 131820 232774 349161 465548 581935 698322 1163870 1396644 1513031 1745805 2327740 3026062 3491610 4539093 6052124 6983220 7565155 9078186 15130310 18156372 19669403 22695465 30260620 39338806 45390930 59008209 78677612 90781860 98347015 118016418 196694030 236032836 255702239 295041045 393388060 511404478 590082090 767106717 1022808956 1180164180 1278511195 1534213434 2557022390 3068426868 3835533585 5114044780 7671067170 15342134340