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343138032 = 2434271977
BaseRepresentation
bin10100011100111…
…101111011110000
3212220200012220000
4110130331323300
51200320404112
654014350000
711334424266
oct2434757360
9786605800
10343138032
11166768756
1296abb300
1356122a73
1433802436
15201d07dc
hex1473def0

343138032 has 100 divisors (see below), whose sum is σ = 997826016. Its totient is φ = 113840640.

The previous prime is 343138007. The next prime is 343138051. The reversal of 343138032 is 230831343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 343137987 and 343138005.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 350728 + ... + 351704.

Almost surely, 2343138032 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 343138032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498913008).

343138032 is an abundant number, since it is smaller than the sum of its proper divisors (654687984).

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

343138032 is a wasteful number, since it uses less digits than its factorization.

343138032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 343138032 is about 18523.9853163405. The cubic root of 343138032 is about 700.0938867267.

Adding to 343138032 its reverse (230831343), we get a palindrome (573969375).

The spelling of 343138032 in words is "three hundred forty-three million, one hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 271 324 432 542 648 813 977 1084 1296 1626 1954 2168 2439 2931 3252 3908 4336 4878 5862 6504 7317 7816 8793 9756 11724 13008 14634 15632 17586 19512 21951 23448 26379 29268 35172 39024 43902 46896 52758 58536 70344 79137 87804 105516 117072 140688 158274 175608 211032 264767 316548 351216 422064 529534 633096 794301 1059068 1266192 1588602 2118136 2382903 3177204 4236272 4765806 6354408 7148709 9531612 12708816 14297418 19063224 21446127 28594836 38126448 42892254 57189672 85784508 114379344 171569016 343138032