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340354245 = 35721124389
BaseRepresentation
bin10100010010010…
…110010011000101
3212201102210020210
4110102112103011
51144112313440
653434550033
711301651300
oct2422262305
9781383223
10340354245
11165137200
1295b98319
135568995a
14332b9b37
151ed30a80
hex144964c5

340354245 has 144 divisors (see below), whose sum is σ = 720498240. Its totient is φ = 136604160.

The previous prime is 340354241. The next prime is 340354247. The reversal of 340354245 is 542453043.

340354245 = T295 + T296 + ... + T1273.

It is not a de Polignac number, because 340354245 - 22 = 340354241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340354241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3824161 + ... + 3824249.

It is an arithmetic number, because the mean of its divisors is an integer number (5003460).

Almost surely, 2340354245 is an apocalyptic number.

340354245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

340354245 is an abundant number, since it is smaller than the sum of its proper divisors (380143995).

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

340354245 is a wasteful number, since it uses less digits than its factorization.

340354245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 340354245 is about 18448.6922300742. The cubic root of 340354245 is about 698.1955190186.

The spelling of 340354245 in words is "three hundred forty million, three hundred fifty-four thousand, two hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 43 49 55 77 89 105 121 129 147 165 215 231 245 267 301 363 385 445 473 539 605 623 645 735 847 903 979 1155 1335 1419 1505 1617 1815 1869 2107 2365 2541 2695 2937 3115 3311 3827 4235 4361 4515 4895 5203 5929 6321 6853 7095 8085 9345 9933 10535 10769 11481 12705 13083 14685 15609 16555 17787 19135 20559 21805 23177 26015 26789 29645 31605 32307 34265 36421 42097 47971 49665 53845 57405 65415 69531 75383 78045 80367 88935 102795 109263 115885 126291 133945 143913 161535 182105 187523 210485 226149 239855 254947 294679 347655 376915 401835 463067 527681 546315 562569 631455 719565 764841 884037 937615 1130745 1274735 1389201 1473395 1583043 2062753 2315335 2638405 2812845 3241469 3824205 4420185 6188259 6946005 7915215 9724407 10313765 16207345 22690283 30941295 48622035 68070849 113451415 340354245