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1342131232 = 2513171731097
BaseRepresentation
bin100111111111111…
…0100110000100000
310110112110022221011
41033333310300200
510222041144412
6341102310304
745154633021
oct11777646040
93415408834
101342131232
11629664072
12315588394
131850998c0
14ca36ac48
157cc637a7
hex4fff4c20

1342131232 has 96 divisors (see below), whose sum is σ = 3033141552. Its totient is φ = 579108864.

The previous prime is 1342131227. The next prime is 1342131251. The reversal of 1342131232 is 2321312431.

It can be written as a sum of positive squares in 8 ways, for example, as 779303056 + 562828176 = 27916^2 + 23724^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222908 + ... + 1224004.

Almost surely, 21342131232 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 1342131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516570776).

1342131232 is an abundant number, since it is smaller than the sum of its proper divisors (1691010320).

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

1342131232 is a wasteful number, since it uses less digits than its factorization.

1342131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1302 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 1342131232 is about 36635.1092805795. The cubic root of 1342131232 is about 1103.0579462777.

Adding to 1342131232 its reverse (2321312431), we get a palindrome (3663443663).

The spelling of 1342131232 in words is "one billion, three hundred forty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 173 208 221 272 346 416 442 544 692 884 1097 1384 1768 2194 2249 2768 2941 3536 4388 4498 5536 5882 7072 8776 8996 11764 14261 17552 17992 18649 23528 28522 35104 35984 37298 38233 47056 57044 71968 74596 76466 94112 114088 149192 152932 189781 228176 242437 298384 305864 379562 456352 484874 596768 611728 759124 969748 1223456 1518248 1939496 2467153 3036496 3226277 3878992 4934306 6072992 6452554 7757984 9868612 12905108 19737224 25810216 39474448 41941601 51620432 78948896 83883202 103240864 167766404 335532808 671065616 1342131232