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342977056 = 2519312587
BaseRepresentation
bin10100011100010…
…110101000100000
3212220101001001221
4110130112220200
51200300231211
654011104424
711333154052
oct2434265040
9786331057
10342977056
11166668814
1296a42114
1356097706
143379d8d2
152019cc71
hex14716a20

342977056 has 72 divisors (see below), whose sum is σ = 735693840. Its totient is φ = 156954240.

The previous prime is 342977053. The next prime is 342977069. The reversal of 342977056 is 650779243.

342977056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3429770563 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (342977053) 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 11 ways as a sum of consecutive naturals, for example, 583995 + ... + 584581.

It is an arithmetic number, because the mean of its divisors is an integer number (10217970).

Almost surely, 2342977056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342977056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367846920).

342977056 is an abundant number, since it is smaller than the sum of its proper divisors (392716784).

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

342977056 is a wasteful number, since it uses less digits than its factorization.

342977056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The square root of 342977056 is about 18519.6397373167. The cubic root of 342977056 is about 699.9843914887.

The spelling of 342977056 in words is "three hundred forty-two million, nine hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 587 589 608 961 992 1174 1178 1922 2348 2356 3844 4696 4712 7688 9392 9424 11153 15376 18197 18259 18784 18848 22306 30752 36394 36518 44612 72788 73036 89224 145576 146072 178448 291152 292144 345743 356896 564107 582304 584288 691486 1128214 1382972 2256428 2765944 4512856 5531888 9025712 10718033 11063776 18051424 21436066 42872132 85744264 171488528 342977056