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342544768 = 2719612309
BaseRepresentation
bin10100011010101…
…101000110000000
3212212120002002021
4110122231012000
51200142413033
653553531224
711326403536
oct2432550600
9785502067
10342544768
111663a2a55
1296873b14
1355c75a17
14336ca156
1520114b2d
hex146ad180

342544768 has 64 divisors (see below), whose sum is σ = 730422000. Its totient is φ = 159528960.

The previous prime is 342544753. The next prime is 342544801. The reversal of 342544768 is 867445243.

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

It is a congruent number.

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, 147198 + ... + 149506.

Almost surely, 2342544768 is an apocalyptic number.

342544768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365211000).

342544768 is an abundant number, since it is smaller than the sum of its proper divisors (387877232).

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

342544768 is a wasteful number, since it uses less digits than its factorization.

342544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2391 counting only the distinct ones).

The product of its digits is 645120, while the sum is 43.

The square root of 342544768 is about 18507.9649880801. The cubic root of 342544768 is about 699.6901812624.

The spelling of 342544768 in words is "three hundred forty-two million, five hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 304 488 608 976 1159 1216 1952 2309 2318 2432 3904 4618 4636 7808 9236 9272 18472 18544 36944 37088 43871 73888 74176 87742 140849 147776 148352 175484 281698 295552 350968 563396 701936 1126792 1403872 2253584 2676131 2807744 4507168 5352262 5615488 9014336 10704524 18028672 21409048 42818096 85636192 171272384 342544768