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342964608 = 2737127591
BaseRepresentation
bin10100011100010…
…011100110000000
3212220100101222220
4110130103212000
51200244331413
654010531040
711333102550
oct2434234600
9786311886
10342964608
1116665a428
1296a36a80
1356091b4c
1433799160
1520199223
hex14713980

342964608 has 64 divisors (see below), whose sum is σ = 1041150720. Its totient is φ = 97989120.

The previous prime is 342964607. The next prime is 342964637. The reversal of 342964608 is 806469243.

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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 342964608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342964607) by changing a digit.

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, 61108 + ... + 66483.

It is an arithmetic number, because the mean of its divisors is an integer number (16267980).

Almost surely, 2342964608 is an apocalyptic number.

It is an amenable number.

342964608 is an abundant number, since it is smaller than the sum of its proper divisors (698186112).

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

342964608 is a wasteful number, since it uses less digits than its factorization.

342964608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127615 (or 127603 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 342964608 is about 18519.3036586152. The cubic root of 342964608 is about 699.9759229814.

The spelling of 342964608 in words is "three hundred forty-two million, nine hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 127591 255182 382773 510364 765546 893137 1020728 1531092 1786274 2041456 2679411 3062184 3572548 4082912 5358822 6124368 7145096 8165824 10717644 12248736 14290192 16331648 21435288 24497472 28580384 42870576 48994944 57160768 85741152 114321536 171482304 342964608