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340046838 = 232192431217
BaseRepresentation
bin10100010001001…
…011001111110110
3212200212011120100
4110101023033312
51144022444323
653424214530
711266231125
oct2421131766
9780764510
10340046838
11164a4724a
1295a6a446
13555aca61
1433239abc
151ecbe943
hex1444b3f6

340046838 has 72 divisors (see below), whose sum is σ = 796323528. Its totient is φ = 104799744.

The previous prime is 340046831. The next prime is 340046867. The reversal of 340046838 is 838640043.

340046838 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340046831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278806 + ... + 280022.

It is an arithmetic number, because the mean of its divisors is an integer number (11060049).

Almost surely, 2340046838 is an apocalyptic number.

340046838 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340046838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398161764).

340046838 is an abundant number, since it is smaller than the sum of its proper divisors (456276690).

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

340046838 is a wasteful number, since it uses less digits than its factorization.

340046838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 340046838 is about 18440.3589444457. The cubic root of 340046838 is about 697.9852529567.

The spelling of 340046838 in words is "three hundred forty million, forty-six thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 361 387 722 774 817 1083 1217 1634 2166 2434 2451 3249 3651 4902 6498 7302 7353 10953 14706 15523 21906 23123 31046 46246 46569 52331 69369 93138 104662 138738 139707 156993 208107 279414 313986 416214 439337 470979 878674 941958 994289 1318011 1988578 2636022 2982867 3954033 5965734 7908066 8948601 17897202 18891491 37782982 56674473 113348946 170023419 340046838