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342641040 = 24357203953
BaseRepresentation
bin10100011011000…
…100100110010000
3212212201222010220
4110123010212100
51200204003130
653555553040
711330254320
oct2433044620
9785658126
10342641040
11166459315
12968bb780
1355caa7a1
1433713280
1520133410
hex146c4990

342641040 has 80 divisors (see below), whose sum is σ = 1213934208. Its totient is φ = 78317568.

The previous prime is 342641029. The next prime is 342641063. The reversal of 342641040 is 40146243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 342641040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100297 + ... + 103656.

Almost surely, 2342641040 is an apocalyptic number.

342641040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342641040 is an abundant number, since it is smaller than the sum of its proper divisors (871293168).

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

342641040 is a wasteful number, since it uses less digits than its factorization.

342641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203976 (or 203970 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 342641040 is about 18510.5656315522. The cubic root of 342641040 is about 699.7557242900.

Adding to 342641040 its reverse (40146243), we get a palindrome (382787283).

The spelling of 342641040 in words is "three hundred forty-two million, six hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 203953 407906 611859 815812 1019765 1223718 1427671 1631624 2039530 2447436 2855342 3059295 3263248 4079060 4283013 4894872 5710684 6118590 7138355 8158120 8566026 9789744 11421368 12237180 14276710 16316240 17132052 21415065 22842736 24474360 28553420 34264104 42830130 48948720 57106840 68528208 85660260 114213680 171320520 342641040