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342011440 = 245171931303
BaseRepresentation
bin10100011000101…
…010111000110000
3212211112222111101
4110120222320300
51200023331230
653534254144
711322022621
oct2430527060
9784488441
10342011440
11166069291
1296657354
1355b1a044
14335cba48
152005baca
hex1462ae30

342011440 has 80 divisors (see below), whose sum is σ = 846963648. Its totient is φ = 127991808.

The previous prime is 342011431. The next prime is 342011459. The reversal of 342011440 is 44110243.

342011440 = T312 + T313 + ... + T1276.

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

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, 261829 + ... + 263131.

Almost surely, 2342011440 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 342011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423481824).

342011440 is an abundant number, since it is smaller than the sum of its proper divisors (504952208).

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

342011440 is a wasteful number, since it uses less digits than its factorization.

342011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 342011440 is about 18493.5513084967. The cubic root of 342011440 is about 699.3268631069.

Adding to 342011440 its reverse (44110243), we get a palindrome (386121683).

The spelling of 342011440 in words is "three hundred forty-two million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 193 272 340 386 680 772 965 1303 1360 1544 1930 2606 3088 3281 3860 5212 6515 6562 7720 10424 13030 13124 15440 16405 20848 22151 26060 26248 32810 44302 52120 52496 65620 88604 104240 110755 131240 177208 221510 251479 262480 354416 443020 502958 886040 1005916 1257395 1772080 2011832 2514790 4023664 4275143 5029580 8550286 10059160 17100572 20118320 21375715 34201144 42751430 68402288 85502860 171005720 342011440