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342129664 = 2102291459
BaseRepresentation
bin10100011001000…
…111110000000000
3212211202222200001
4110121013300000
51200041122124
653541005344
711323024402
oct2431076000
9784688601
10342129664
1116613a098
12966b3854
1355b5bab6
143361cb72
1520081b44
hex14647c00

342129664 has 44 divisors (see below), whose sum is σ = 687382600. Its totient is φ = 170201088.

The previous prime is 342129661. The next prime is 342129677. The reversal of 342129664 is 466921243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342129661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233767 + ... + 235225.

Almost surely, 2342129664 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 342129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343691300).

342129664 is an abundant number, since it is smaller than the sum of its proper divisors (345252936).

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

342129664 is a wasteful number, since it uses less digits than its factorization.

342129664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1690 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 342129664 is about 18496.7473897440. The cubic root of 342129664 is about 699.4074332134.

The spelling of 342129664 in words is "three hundred forty-two million, one hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 512 916 1024 1459 1832 2918 3664 5836 7328 11672 14656 23344 29312 46688 58624 93376 117248 186752 234496 334111 373504 668222 747008 1336444 1494016 2672888 5345776 10691552 21383104 42766208 85532416 171064832 342129664