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1342431168 = 263131928307
BaseRepresentation
bin101000000000011…
…1101111111000000
310110120000120100220
41100000331333000
510222130244133
6341112543040
745160322331
oct12000757700
93416016326
101342431168
11629849451
123156b1a80
13185173290
14ca408288
157ccc25b3
hex5003dfc0

1342431168 has 112 divisors (see below), whose sum is σ = 4026529920. Its totient is φ = 391302144.

The previous prime is 1342431137. The next prime is 1342431193. The reversal of 1342431168 is 8611342431.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 33271 + ... + 61577.

It is an arithmetic number, because the mean of its divisors is an integer number (35951160).

Almost surely, 21342431168 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 1342431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013264960).

1342431168 is an abundant number, since it is smaller than the sum of its proper divisors (2684098752).

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

1342431168 is a wasteful number, since it uses less digits than its factorization.

1342431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28354 (or 28344 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 1342431168 is about 36639.2026114106. The cubic root of 1342431168 is about 1103.1401096653.

Adding to 1342431168 its reverse (8611342431), we get a palindrome (9953773599).

The spelling of 1342431168 in words is "one billion, three hundred forty-two million, four hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 7904 11856 15808 23712 28307 47424 56614 84921 113228 169842 226456 339684 367991 452912 537833 679368 735982 905824 1075666 1103973 1358736 1471964 1613499 1811648 2151332 2207946 2717472 2943928 3226998 4302664 4415892 5434944 5887856 6453996 6991829 8605328 8831784 11775712 12907992 13983658 17210656 17663568 20975487 23551424 25815984 27967316 34421312 35327136 41950974 51631968 55934632 70654272 83901948 103263936 111869264 167803896 223738528 335607792 447477056 671215584 1342431168