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342856704 = 2103233479
BaseRepresentation
bin10100011011111…
…001010000000000
3212220010220222110
4110123321100000
51200232403304
654004335320
711332143141
oct2433712000
9786126873
10342856704
11166596353
12969a4540
13560549b8
143376bac8
1520177289
hex146f9400

342856704 has 88 divisors (see below), whose sum is σ = 919676160. Its totient is φ = 113557504.

The previous prime is 342856667. The next prime is 342856753. The reversal of 342856704 is 407658243.

It is a happy number.

It is a super-3 number, since 3×3428567043 (a number of 27 digits) contains 333 as substring.

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, 715537 + ... + 716015.

Almost surely, 2342856704 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 342856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459838080).

342856704 is an abundant number, since it is smaller than the sum of its proper divisors (576819456).

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

342856704 is a wasteful number, since it uses less digits than its factorization.

342856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 342856704 is about 18516.3901449500. The cubic root of 342856704 is about 699.9025061499.

The spelling of 342856704 in words is "three hundred forty-two million, eight hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 384 466 479 512 699 768 932 958 1024 1398 1437 1536 1864 1916 2796 2874 3072 3728 3832 5592 5748 7456 7664 11184 11496 14912 15328 22368 22992 29824 30656 44736 45984 59648 61312 89472 91968 111607 119296 122624 178944 183936 223214 238592 245248 334821 357888 367872 446428 490496 669642 715776 735744 892856 1339284 1471488 1785712 2678568 3571424 5357136 7142848 10714272 14285696 21428544 28571392 42857088 57142784 85714176 114285568 171428352 342856704