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342862080 = 2835118117
BaseRepresentation
bin10100011011111…
…010100100000000
3212220011012100120
4110123322210000
51200233041310
654004420240
711332164621
oct2433724400
9786135316
10342862080
1116659a3a0
12969a7680
1356057292
143376da48
1520178b70
hex146fa900

342862080 has 144 divisors (see below), whose sum is σ = 1194709824. Its totient is φ = 83107840.

The previous prime is 342862061. The next prime is 342862097. The reversal of 342862080 is 80268243.

342862080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38182 + ... + 46298.

It is an arithmetic number, because the mean of its divisors is an integer number (8296596).

Almost surely, 2342862080 is an apocalyptic number.

342862080 is a gapful number since it is divisible by the number (30) 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 342862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597354912).

342862080 is an abundant number, since it is smaller than the sum of its proper divisors (851847744).

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

342862080 is a wasteful number, since it uses less digits than its factorization.

342862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 342862080 is about 18516.5353130655. The cubic root of 342862080 is about 699.9061642925.

The spelling of 342862080 in words is "three hundred forty-two million, eight hundred sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8117 8448 10560 14080 16234 21120 24351 32468 40585 42240 48702 64936 81170 89287 97404 121755 129872 162340 178574 194808 243510 259744 267861 324680 357148 389616 446435 487020 519488 535722 649360 714296 779232 892870 974040 1038976 1071444 1298720 1339305 1428592 1558464 1785740 1948080 2077952 2142888 2597440 2678610 2857184 3116928 3571480 3896160 4285776 5194880 5357220 5714368 6233856 7142960 7792320 8571552 10389760 10714440 11428736 14285920 15584640 17143104 21428880 22857472 28571840 31169280 34286208 42857760 57143680 68572416 85715520 114287360 171431040 342862080