Search a number
-
+
342949776 = 243133117729
BaseRepresentation
bin10100011100001…
…111111110010000
3212220022122122120
4110130033332100
51200243343101
654010334240
711333011401
oct2434177620
9786278576
10342949776
1116664a274
1296a2a380
1356088180
14337939a8
1520194b36
hex1470ff90

342949776 has 80 divisors (see below), whose sum is σ = 984936960. Its totient is φ = 102113280.

The previous prime is 342949769. The next prime is 342949777. The reversal of 342949776 is 677949243.

It is a super-2 number, since 2×3429497762 = 235229097716900352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342949777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10480 + ... + 28208.

It is an arithmetic number, because the mean of its divisors is an integer number (12311712).

Almost surely, 2342949776 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 342949776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492468480).

342949776 is an abundant number, since it is smaller than the sum of its proper divisors (641987184).

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

342949776 is a wasteful number, since it uses less digits than its factorization.

342949776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17784 (or 17778 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The square root of 342949776 is about 18518.9032072637. The cubic root of 342949776 is about 699.9658323459.

The spelling of 342949776 in words is "three hundred forty-two million, nine hundred forty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 17729 19344 35458 53187 70916 106374 141832 212748 230477 283664 425496 460954 549599 691431 850992 921908 1099198 1382862 1648797 1843816 2198396 2765724 3297594 3687632 4396792 5531448 6595188 7144787 8793584 11062896 13190376 14289574 21434361 26380752 28579148 42868722 57158296 85737444 114316592 171474888 342949776