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349811484 = 2231121032339
BaseRepresentation
bin10100110110011…
…011001100011100
3220101020021010220
4110312123030130
51204022431414
654413401340
711445230361
oct2466331434
9811207126
10349811484
1116a506600
1299199250
135761b459
143465c468
1520a9cca9
hex14d9b31c

349811484 has 72 divisors (see below), whose sum is σ = 906272640. Its totient is φ = 104929440.

The previous prime is 349811479. The next prime is 349811503. The reversal of 349811484 is 484118943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148387 + ... + 150725.

It is an arithmetic number, because the mean of its divisors is an integer number (12587120).

Almost surely, 2349811484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349811484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453136320).

349811484 is an abundant number, since it is smaller than the sum of its proper divisors (556461156).

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

349811484 is a wasteful number, since it uses less digits than its factorization.

349811484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2458 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 349811484 is about 18703.2479532299. The cubic root of 349811484 is about 704.6033239530.

The spelling of 349811484 in words is "three hundred forty-nine million, eight hundred eleven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 121 132 206 242 309 363 412 484 618 726 1133 1236 1452 2266 2339 3399 4532 4678 6798 7017 9356 12463 13596 14034 24926 25729 28068 37389 49852 51458 74778 77187 102916 149556 154374 240917 283019 308748 481834 566038 722751 849057 963668 1132076 1445502 1698114 2650087 2891004 3396228 5300174 7950261 10600348 15900522 29150957 31801044 58301914 87452871 116603828 174905742 349811484