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342459880 = 235723411297
BaseRepresentation
bin10100011010011…
…000010111101000
3212212101202122021
4110122120113220
51200132204010
653552034224
711325601210
oct2432302750
9785352567
10342459880
111663451a4
1296832974
1355c461a9
14336a7240
15200e98da
hex146985e8

342459880 has 128 divisors (see below), whose sum is σ = 942036480. Its totient is φ = 109486080.

The previous prime is 342459851. The next prime is 342459889. The reversal of 342459880 is 88954243.

It is a super-2 number, since 2×3424598802 = 234557538819228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (342459889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263392 + ... + 264688.

It is an arithmetic number, because the mean of its divisors is an integer number (7359660).

Almost surely, 2342459880 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 342459880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471018240).

342459880 is an abundant number, since it is smaller than the sum of its proper divisors (599576600).

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

342459880 is a wasteful number, since it uses less digits than its factorization.

342459880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 342459880 is about 18505.6715630641. The cubic root of 342459880 is about 699.6323783972.

The spelling of 342459880 in words is "three hundred forty-two million, four hundred fifty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 41 46 56 70 82 92 115 140 161 164 184 205 230 280 287 322 328 410 460 574 644 805 820 920 943 1148 1288 1297 1435 1610 1640 1886 2296 2594 2870 3220 3772 4715 5188 5740 6440 6485 6601 7544 9079 9430 10376 11480 12970 13202 18158 18860 25940 26404 29831 33005 36316 37720 45395 51880 52808 53177 59662 66010 72632 90790 106354 119324 132020 149155 181580 208817 212708 238648 264040 265885 298310 363160 372239 417634 425416 531770 596620 744478 835268 1044085 1063540 1193240 1223071 1488956 1670536 1861195 2088170 2127080 2446142 2977912 3722390 4176340 4892284 6115355 7444780 8352680 8561497 9784568 12230710 14889560 17122994 24461420 34245988 42807485 48922840 68491976 85614970 171229940 342459880