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349311204 = 22341198011
BaseRepresentation
bin10100110100100…
…001000011100100
3220100021211220000
4110310201003210
51203410424304
654354541300
711441045004
oct2464410344
9810254800
10349311204
1116a1a4750
1298b97830
13574a4828
143456c004
15209ee939
hex14d210e4

349311204 has 60 divisors (see below), whose sum is σ = 996193968. Its totient is φ = 105850800.

The previous prime is 349311203. The next prime is 349311217. The reversal of 349311204 is 402113943.

349311204 is a `hidden beast` number, since 349 + 311 + 2 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (349311203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45442 + ... + 52569.

Almost surely, 2349311204 is an apocalyptic number.

It is an amenable number.

349311204 is an abundant number, since it is smaller than the sum of its proper divisors (646882764).

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

349311204 is a wasteful number, since it uses less digits than its factorization.

349311204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98038 (or 98027 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 349311204 is about 18689.8690204078. The cubic root of 349311204 is about 704.2672694952.

The spelling of 349311204 in words is "three hundred forty-nine million, three hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 98011 196022 294033 392044 588066 882099 1078121 1176132 1764198 2156242 2646297 3234363 3528396 4312484 5292594 6468726 7938891 9703089 10585188 12937452 15877782 19406178 29109267 31755564 38812356 58218534 87327801 116437068 174655602 349311204