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342930480 = 243512711251
BaseRepresentation
bin10100011100001…
…011010000110000
3212220021200011220
4110130023100300
51200242233410
654010105040
711332601214
oct2434132060
9786250156
10342930480
11166636822
1296a1b180
135607c459
143378a944
152018e070
hex1470b430

342930480 has 80 divisors (see below), whose sum is σ = 1071550464. Its totient is φ = 90720000.

The previous prime is 342930473. The next prime is 342930491. The reversal of 342930480 is 84039243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3429304802 = 235202628226060800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 24855 + ... + 36105.

Almost surely, 2342930480 is an apocalyptic number.

342930480 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 342930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535775232).

342930480 is an abundant number, since it is smaller than the sum of its proper divisors (728619984).

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

342930480 is a wasteful number, since it uses less digits than its factorization.

342930480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394 (or 11388 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 342930480 is about 18518.3822187577. The cubic root of 342930480 is about 699.9527042875.

The spelling of 342930480 in words is "three hundred forty-two million, nine hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 11251 15240 22502 30480 33753 45004 56255 67506 90008 112510 135012 168765 180016 225020 270024 337530 450040 540048 675060 900080 1350120 1428877 2700240 2857754 4286631 5715508 7144385 8573262 11431016 14288770 17146524 21433155 22862032 28577540 34293048 42866310 57155080 68586096 85732620 114310160 171465240 342930480