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345401112 = 233743137349
BaseRepresentation
bin10100100101100…
…110011100011000
3220001221012020210
4110211212130120
51201410313422
654135051120
711362601220
oct2445463430
9801835223
10345401112
11167a73a71
1297810aa0
1356735b74
1433c31080
15204cb10c
hex14966718

345401112 has 128 divisors (see below), whose sum is σ = 1020096000. Its totient is φ = 95413248.

The previous prime is 345401041. The next prime is 345401131. The reversal of 345401112 is 211104543.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 989514 + ... + 989862.

It is an arithmetic number, because the mean of its divisors is an integer number (7969500).

Almost surely, 2345401112 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 345401112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510048000).

345401112 is an abundant number, since it is smaller than the sum of its proper divisors (674694888).

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

345401112 is a wasteful number, since it uses less digits than its factorization.

345401112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 345401112 is about 18584.9700564731. The cubic root of 345401112 is about 701.6296128114.

Adding to 345401112 its reverse (211104543), we get a palindrome (556505655).

The spelling of 345401112 in words is "three hundred forty-five million, four hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 137 168 172 258 274 301 344 349 411 516 548 602 698 822 903 959 1032 1047 1096 1204 1396 1644 1806 1918 2094 2408 2443 2792 2877 3288 3612 3836 4188 4886 5754 5891 7224 7329 7672 8376 9772 11508 11782 14658 15007 17673 19544 23016 23564 29316 30014 35346 41237 45021 47128 47813 58632 60028 70692 82474 90042 95626 105049 120056 123711 141384 143439 164948 180084 191252 210098 247422 286878 315147 329896 334691 360168 382504 420196 494844 573756 630294 669382 840392 989688 1004073 1147512 1260588 1338764 2008146 2055959 2521176 2677528 4016292 4111918 6167877 8032584 8223836 12335754 14391713 16447672 24671508 28783426 43175139 49343016 57566852 86350278 115133704 172700556 345401112