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349857007458 = 23731617360343
BaseRepresentation
bin1010001011101010001…
…10100100011101100010
31020110001010200102110220
411011311012210131202
521213001343214313
6424415545503510
734163532332250
oct5056506443542
91213033612426
10349857007458
111254121839a2
125797a4a1b96
1326cb708415a
1412d0c88d5d0
15917970a823
hex51751a4762

349857007458 has 128 divisors (see below), whose sum is σ = 850508611584. Its totient is φ = 93843878400.

The previous prime is 349857007457. The next prime is 349857007477. The reversal of 349857007458 is 854700758943.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (349857007453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5767635 + ... + 5827977.

It is an arithmetic number, because the mean of its divisors is an integer number (6644598528).

Almost surely, 2349857007458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349857007458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425254305792).

349857007458 is an abundant number, since it is smaller than the sum of its proper divisors (500651604126).

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

349857007458 is a wasteful number, since it uses less digits than its factorization.

349857007458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60520.

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 349857007458 in words is "three hundred forty-nine billion, eight hundred fifty-seven million, seven thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 61 62 73 93 122 146 183 186 217 219 366 427 434 438 511 651 854 1022 1281 1302 1533 1891 2263 2562 3066 3782 4453 4526 5673 6789 8906 11346 13237 13359 13578 15841 26474 26718 31171 31682 39711 47523 60343 62342 79422 93513 95046 120686 138043 181029 187026 276086 362058 414129 422401 828258 844802 966301 1267203 1870633 1932602 2534406 2898903 3680923 3741266 4405039 5611899 5797806 7361846 8810078 11042769 11223798 13094431 13215117 22085538 25766461 26188862 26430234 30835273 39283293 51532922 61670546 77299383 78566586 92505819 114108613 136556209 154598766 185011638 228217226 268707379 273112418 342325839 409668627 537414758 684651678 798760291 806122137 819337254 955893463 1597520582 1612244274 1880951653 1911786926 2396280873 2867680389 3761903306 4792561746 5642854959 5735360778 8329928749 11285709918 16659857498 24989786247 49979572494 58309501243 116619002486 174928503729 349857007458