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342351440 = 245171391811
BaseRepresentation
bin10100011001111…
…101111001010000
3212212012020212222
4110121331321100
51200120221230
653545440212
711324640104
oct2431757120
9785166788
10342351440
11166280782
12967a0068
1355c08a22
1433679904
15200c76e5
hex1467de50

342351440 has 80 divisors (see below), whose sum is σ = 849320640. Its totient is φ = 127887360.

The previous prime is 342351407. The next prime is 342351463. The reversal of 342351440 is 44153243.

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

It is a congruent number.

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, 188135 + ... + 189945.

It is an arithmetic number, because the mean of its divisors is an integer number (10616508).

Almost surely, 2342351440 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 342351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424660320).

342351440 is an abundant number, since it is smaller than the sum of its proper divisors (506969200).

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

342351440 is a wasteful number, since it uses less digits than its factorization.

342351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 342351440 is about 18502.7414185034. The cubic root of 342351440 is about 699.5585243500.

The spelling of 342351440 in words is "three hundred forty-two million, three hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 139 170 272 278 340 556 680 695 1112 1360 1390 1811 2224 2363 2780 3622 4726 5560 7244 9055 9452 11120 11815 14488 18110 18904 23630 28976 30787 36220 37808 47260 61574 72440 94520 123148 144880 153935 189040 246296 251729 307870 492592 503458 615740 1006916 1231480 1258645 2013832 2462960 2517290 4027664 4279393 5034580 8558786 10069160 17117572 20138320 21396965 34235144 42793930 68470288 85587860 171175720 342351440