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342221440 = 2751148611
BaseRepresentation
bin10100011001011…
…110001010000000
3212211221122120011
4110121132022000
51200102041230
653542554304
711323556101
oct2431361200
9784848504
10342221440
111661a2040
1296738994
1355b917c2
14336443a8
152009de2a
hex1465e280

342221440 has 64 divisors (see below), whose sum is σ = 892516320. Its totient is φ = 124441600.

The previous prime is 342221423. The next prime is 342221459. The reversal of 342221440 is 44122243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

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 7 ways as a sum of consecutive naturals, for example, 17266 + ... + 31345.

Almost surely, 2342221440 is an apocalyptic number.

It is an amenable number.

342221440 is an abundant number, since it is smaller than the sum of its proper divisors (550294880).

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

342221440 is a wasteful number, since it uses less digits than its factorization.

342221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48641 (or 48629 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 342221440 is about 18499.2280920043. The cubic root of 342221440 is about 699.4699661112.

Adding to 342221440 its reverse (44122243), we get a palindrome (386343683).

The spelling of 342221440 in words is "three hundred forty-two million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 48611 97222 194444 243055 388888 486110 534721 777776 972220 1069442 1555552 1944440 2138884 2673605 3111104 3888880 4277768 5347210 6222208 7777760 8555536 10694420 15555520 17111072 21388840 31111040 34222144 42777680 68444288 85555360 171110720 342221440