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342505440 = 25325237851
BaseRepresentation
bin10100011010100…
…011011111100000
3212212111002010200
4110122203133200
51200140133230
653553025200
711326151064
oct2432433740
9785432120
10342505440
11166376452
1296855200
1355c60b54
14336b9aa4
1520108160
hex146a37e0

342505440 has 72 divisors (see below), whose sum is σ = 1168804728. Its totient is φ = 91334400.

The previous prime is 342505439. The next prime is 342505463. The reversal of 342505440 is 44505243.

342505440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117486 + ... + 120365.

It is an arithmetic number, because the mean of its divisors is an integer number (16233399).

Almost surely, 2342505440 is an apocalyptic number.

342505440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342505440 is an abundant number, since it is smaller than the sum of its proper divisors (826299288).

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

342505440 is a wasteful number, since it uses less digits than its factorization.

342505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237872 (or 237861 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 342505440 is about 18506.9024960959. The cubic root of 342505440 is about 699.6634027980.

The spelling of 342505440 in words is "three hundred forty-two million, five hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 237851 475702 713553 951404 1189255 1427106 1902808 2140659 2378510 2854212 3567765 3805616 4281318 4757020 5708424 7135530 7611232 8562636 9514040 10703295 11416848 14271060 17125272 19028080 21406590 22833696 28542120 34250544 38056160 42813180 57084240 68501088 85626360 114168480 171252720 342505440