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342505400 = 235219173521
BaseRepresentation
bin10100011010100…
…011011110111000
3212212111002002012
4110122203132320
51200140133100
653553025052
711326151006
oct2432433670
9785432065
10342505400
11166376416
1296855188
1355c60b23
14336b9a76
1520108135
hex146a37b8

342505400 has 96 divisors (see below), whose sum is σ = 844700400. Its totient is φ = 128793600.

The previous prime is 342505379. The next prime is 342505439. The reversal of 342505400 is 4505243.

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, 657140 + ... + 657660.

Almost surely, 2342505400 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 342505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422350200).

342505400 is an abundant number, since it is smaller than the sum of its proper divisors (502195000).

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

342505400 is a wasteful number, since it uses less digits than its factorization.

342505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 342505400 is about 18506.9014154180. The cubic root of 342505400 is about 699.6633755609.

The spelling of 342505400 in words is "three hundred forty-two million, five hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 173 190 200 346 380 475 521 692 760 865 950 1042 1384 1730 1900 2084 2605 3287 3460 3800 4168 4325 5210 6574 6920 8650 9899 10420 13025 13148 16435 17300 19798 20840 26050 26296 32870 34600 39596 49495 52100 65740 79192 82175 90133 98990 104200 131480 164350 180266 197980 247475 328700 360532 395960 450665 494950 657400 721064 901330 989900 1712527 1802660 1979800 2253325 3425054 3605320 4506650 6850108 8562635 9013300 13700216 17125270 18026600 34250540 42813175 68501080 85626350 171252700 342505400