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342958080 = 213352791
BaseRepresentation
bin10100011100010…
…010000000000000
3212220100002001010
4110130102000000
51200244124310
654010440520
711333044533
oct2434220000
9786302033
10342958080
11166655533
1296a33140
135608bb9a
1433796a1a
1520197320
hex14712000

342958080 has 112 divisors (see below), whose sum is σ = 1097792064. Its totient is φ = 91422720.

The previous prime is 342958061. The next prime is 342958087. The reversal of 342958080 is 80859243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (342958087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121485 + ... + 124275.

Almost surely, 2342958080 is an apocalyptic number.

342958080 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 342958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548896032).

342958080 is an abundant number, since it is smaller than the sum of its proper divisors (754833984).

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

342958080 is an equidigital number, since it uses as much as digits as its factorization.

342958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 342958080 is about 18519.1274092491. The cubic root of 342958080 is about 699.9714818314.

The spelling of 342958080 in words is "three hundred forty-two million, nine hundred fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 2791 3072 3840 4096 5120 5582 6144 7680 8192 8373 10240 11164 12288 13955 15360 16746 20480 22328 24576 27910 30720 33492 40960 41865 44656 55820 61440 66984 83730 89312 111640 122880 133968 167460 178624 223280 267936 334920 357248 446560 535872 669840 714496 893120 1071744 1339680 1428992 1786240 2143488 2679360 2857984 3572480 4286976 5358720 5715968 7144960 8573952 10717440 11431936 14289920 17147904 21434880 22863872 28579840 34295808 42869760 57159680 68591616 85739520 114319360 171479040 342958080