Search a number
-
+
349811512350 = 23524354234343
BaseRepresentation
bin1010001011100100110…
…01000001010000011110
31020102220222002000220220
411011302121001100132
521212403221343400
6424411242422210
734162440536406
oct5056231012036
91212828060826
10349811512350
1112539952a833
1257967201966
1326caa815381
1412d06809806
1591757207a0
hex517264141e

349811512350 has 48 divisors (see below), whose sum is σ = 887707742592. Its totient is φ = 91113694560.

The previous prime is 349811512343. The next prime is 349811512357. The reversal of 349811512350 is 53215118943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (349811512343) and next prime (349811512357).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349811512357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27110722 + ... + 27123621.

It is an arithmetic number, because the mean of its divisors is an integer number (18493911304).

Almost surely, 2349811512350 is an apocalyptic number.

349811512350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349811512350 is an abundant number, since it is smaller than the sum of its proper divisors (537896230242).

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

349811512350 is a wasteful number, since it uses less digits than its factorization.

349811512350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54234401 (or 54234396 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 349811512350 in words is "three hundred forty-nine billion, eight hundred eleven million, five hundred twelve thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1075 1290 2150 3225 6450 54234343 108468686 162703029 271171715 325406058 542343430 813515145 1355858575 1627030290 2332076749 2711717150 4067575725 4664153498 6996230247 8135151450 11660383745 13992460494 23320767490 34981151235 58301918725 69962302470 116603837450 174905756175 349811512350