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240342420 = 223512731541
BaseRepresentation
bin11100101001101…
…01010110010100
3121202020122211010
432110311112110
5443011424140
635503212220
75645606523
oct1624652624
9552218733
10240342420
111137378aa
12685a7070
133aa40966
1423cc44ba
1516177880
hexe535594

240342420 has 48 divisors (see below), whose sum is σ = 678279168. Its totient is φ = 63584640.

The previous prime is 240342397. The next prime is 240342461. The reversal of 240342420 is 24243042.

240342420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8151 + ... + 23390.

It is an arithmetic number, because the mean of its divisors is an integer number (14130816).

Almost surely, 2240342420 is an apocalyptic number.

240342420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240342420 is an abundant number, since it is smaller than the sum of its proper divisors (437936748).

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

240342420 is a wasteful number, since it uses less digits than its factorization.

240342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31680 (or 31678 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 240342420 is about 15502.9810036651. The cubic root of 240342420 is about 621.7419103421.

Adding to 240342420 its reverse (24243042), we get a palindrome (264585462).

The spelling of 240342420 in words is "two hundred forty million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 31541 63082 94623 126164 157705 189246 315410 378492 473115 630820 946230 1892460 4005707 8011414 12017121 16022828 20028535 24034242 40057070 48068484 60085605 80114140 120171210 240342420