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353242680 = 233571922133
BaseRepresentation
bin10101000011100…
…000111000111000
3220121200120212020
4111003200320320
51210412231210
655015114440
711516341020
oct2503407070
9817616766
10353242680
1117143a4aa
129a372a20
135825014b
1434cb2a80
1521029770
hex150e0e38

353242680 has 128 divisors (see below), whose sum is σ = 1274918400. Its totient is φ = 76488192.

The previous prime is 353242651. The next prime is 353242697. The reversal of 353242680 is 86242353.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4894 + ... + 27026.

It is an arithmetic number, because the mean of its divisors is an integer number (9960300).

Almost surely, 2353242680 is an apocalyptic number.

353242680 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 353242680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637459200).

353242680 is an abundant number, since it is smaller than the sum of its proper divisors (921675720).

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

353242680 is a wasteful number, since it uses less digits than its factorization.

353242680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22173 (or 22169 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 353242680 is about 18794.7513950039. The cubic root of 353242680 is about 706.8995800815.

The spelling of 353242680 in words is "three hundred fifty-three million, two hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 22133 44266 66399 88532 110665 132798 154931 177064 221330 265596 309862 331995 420527 442660 464793 531192 619724 663990 774655 841054 885320 929586 1239448 1261581 1327980 1549310 1682108 1859172 2102635 2323965 2523162 2655960 2943689 3098620 3364216 3718344 4205270 4647930 5046324 5887378 6197240 6307905 8410540 8831067 9295860 10092648 11774756 12615810 14718445 16821080 17662134 18591720 23549512 25231620 29436890 35324268 44155335 50463240 58873780 70648536 88310670 117747560 176621340 353242680