Search a number
-
+
342941400 = 233252190523
BaseRepresentation
bin10100011100001…
…101111011011000
3212220022020011100
4110130031323120
51200243111100
654010231400
711332645104
oct2434157330
9786266140
10342941400
11166643a4a
1296a25560
1356084409
1433790904
1520192400
hex1470ded8

342941400 has 72 divisors (see below), whose sum is σ = 1151717580. Its totient is φ = 91450560.

The previous prime is 342941399. The next prime is 342941407. The reversal of 342941400 is 4149243.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342941407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93462 + ... + 97061.

Almost surely, 2342941400 is an apocalyptic number.

342941400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342941400 is an abundant number, since it is smaller than the sum of its proper divisors (808776180).

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

342941400 is a wasteful number, since it uses less digits than its factorization.

342941400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190545 (or 190533 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 342941400 is about 18518.6770585806. The cubic root of 342941400 is about 699.9601337840.

The spelling of 342941400 in words is "three hundred forty-two million, nine hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 190523 381046 571569 762092 952615 1143138 1524184 1714707 1905230 2286276 2857845 3429414 3810460 4572552 4763075 5715690 6858828 7620920 8573535 9526150 11431380 13717656 14289225 17147070 19052300 22862760 28578450 34294140 38104600 42867675 57156900 68588280 85735350 114313800 171470700 342941400