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349199424 = 263479623
BaseRepresentation
bin10100110100000…
…101110001000000
3220100002011120000
4110310011301000
51203343340144
654352320000
711440101060
oct2464056100
9810064500
10349199424
1116a128772
1298b43000
13574659a2
143453d3a0
15209cb769
hex14d05c40

349199424 has 140 divisors (see below), whose sum is σ = 1183136064. Its totient is φ = 99760896.

The previous prime is 349199401. The next prime is 349199443. The reversal of 349199424 is 424991943.

349199424 is a `hidden beast` number, since 34 + 9 + 199 + 424 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 349199424.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31477 + ... + 41099.

Almost surely, 2349199424 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 349199424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591568032).

349199424 is an abundant number, since it is smaller than the sum of its proper divisors (833936640).

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

349199424 is an equidigital number, since it uses as much as digits as its factorization.

349199424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9654 (or 9635 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 349199424 is about 18686.8783909994. The cubic root of 349199424 is about 704.1921393600.

The spelling of 349199424 in words is "three hundred forty-nine million, one hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 9623 12096 18144 19246 28869 36288 38492 57738 67361 76984 86607 115476 134722 153968 173214 202083 230952 259821 269444 307936 346428 404166 461904 519642 538888 606249 615872 692856 779463 808332 923808 1039284 1077776 1212498 1385712 1558926 1616664 1818747 1847616 2078568 2155552 2424996 2771424 3117852 3233328 3637494 4157136 4311104 4849992 5456241 5542848 6235704 6466656 7274988 8314272 9699984 10912482 12471408 12933312 14549976 16628544 19399968 21824964 24942816 29099952 38799936 43649928 49885632 58199904 87299856 116399808 174599712 349199424