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349884684 = 223417139457
BaseRepresentation
bin10100110110101…
…101000100001100
3220101100222120000
4110312231010030
51204032302214
654415124300
711445653652
oct2466550414
9811328500
10349884684
1116a5565a6
1299213690
1357645876
143467add2
1520ab4809
hex14dad10c

349884684 has 120 divisors (see below), whose sum is σ = 977573520. Its totient is φ = 108739584.

The previous prime is 349884673. The next prime is 349884697. The reversal of 349884684 is 486488943.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 349884684.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 765384 + ... + 765840.

It is an arithmetic number, because the mean of its divisors is an integer number (8146446).

Almost surely, 2349884684 is an apocalyptic number.

349884684 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349884684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488786760).

349884684 is an abundant number, since it is smaller than the sum of its proper divisors (627688836).

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

349884684 is a wasteful number, since it uses less digits than its factorization.

349884684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 349884684 is about 18705.2047302348. The cubic root of 349884684 is about 704.6524679143.

The spelling of 349884684 in words is "three hundred forty-nine million, eight hundred eighty-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 139 153 162 204 278 306 324 417 457 459 556 612 834 914 918 1251 1371 1377 1668 1828 1836 2363 2502 2742 2754 3753 4113 4726 5004 5484 5508 7089 7506 7769 8226 9452 11259 12339 14178 15012 15538 16452 21267 22518 23307 24678 28356 31076 37017 42534 45036 46614 49356 63523 63801 69921 74034 85068 93228 127046 127602 139842 148068 190569 191403 209763 254092 255204 279684 381138 382806 419526 571707 629289 762276 765612 839052 1079891 1143414 1258578 1715121 2159782 2286828 2517156 3239673 3430242 4319564 5145363 6479346 6860484 9719019 10290726 12958692 19438038 20581452 29157057 38876076 58314114 87471171 116628228 174942342 349884684