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412342440 = 23357148397
BaseRepresentation
bin11000100100111…
…101100010101000
31001201220011111020
4120210331202220
51321024424230
6104525532440
713134565356
oct3044754250
91051804436
10412342440
111a1835a84
12b6114120
1367573413
143ca987d6
1526300810
hex1893d8a8

412342440 has 64 divisors (see below), whose sum is σ = 1254476160. Its totient is φ = 108407040.

The previous prime is 412342433. The next prime is 412342573. The reversal of 412342440 is 44243214.

It is a happy number.

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 412342440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15679 + ... + 32718.

It is an arithmetic number, because the mean of its divisors is an integer number (19601190).

Almost surely, 2412342440 is an apocalyptic number.

412342440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412342440 is an abundant number, since it is smaller than the sum of its proper divisors (842133720).

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

412342440 is a wasteful number, since it uses less digits than its factorization.

412342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48482 (or 48478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 412342440 is about 20306.2167820596. The cubic root of 412342440 is about 744.3079861433.

Adding to 412342440 its reverse (44243214), we get a palindrome (456585654).

The spelling of 412342440 in words is "four hundred twelve million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 48397 96794 145191 193588 241985 290382 387176 483970 580764 725955 967940 1161528 1451910 1935880 2903820 3436187 5807640 6872374 10308561 13744748 17180935 20617122 27489496 34361870 41234244 51542805 68723740 82468488 103085610 137447480 206171220 412342440