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349261944 = 233374153181
BaseRepresentation
bin10100110100010…
…101000001111000
3220100012100022120
4110310111001320
51203402340234
654353521240
711440451253
oct2464250170
9810170276
10349261944
1116a170739
1298b73220
1357488295
143455809a
15209e0049
hex14d15078

349261944 has 128 divisors (see below), whose sum is σ = 941129280. Its totient is φ = 107827200.

The previous prime is 349261937. The next prime is 349261949. The reversal of 349261944 is 449162943.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 349261896 and 349261905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349261949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1929534 + ... + 1929714.

Almost surely, 2349261944 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 349261944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

349261944 is an abundant number, since it is smaller than the sum of its proper divisors (591867336).

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

349261944 is a wasteful number, since it uses less digits than its factorization.

349261944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 349261944 is about 18688.5511476947. The cubic root of 349261944 is about 704.2341625921.

Subtracting 349261944 from its reverse (449162943), we obtain a palindrome (99900999).

The spelling of 349261944 in words is "three hundred forty-nine million, two hundred sixty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 41 53 74 82 106 111 123 148 159 164 181 212 222 246 296 318 328 362 424 444 492 543 636 724 888 984 1086 1272 1448 1517 1961 2172 2173 3034 3922 4344 4346 4551 5883 6068 6519 6697 7421 7844 8692 9102 9593 11766 12136 13038 13394 14842 15688 17384 18204 19186 20091 22263 23532 26076 26788 28779 29684 36408 38372 40182 44526 47064 52152 53576 57558 59368 76744 80364 80401 89052 115116 160728 160802 178104 230232 241203 274577 321604 354941 393313 482406 549154 643208 709882 786626 823731 964812 1064823 1098308 1179939 1419764 1573252 1647462 1929624 2129646 2196616 2359878 2839528 3146504 3294924 4259292 4719756 6589848 8518584 9439512 14552581 29105162 43657743 58210324 87315486 116420648 174630972 349261944