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352434040 = 235719312137
BaseRepresentation
bin10101000000011…
…011011101111000
3220120011111121121
4111000123131320
51210210342130
654545515024
711506432330
oct2500333570
9816144547
10352434040
11170a37a02
129a042a74
135802906a
1434b420c0
1520e19d7a
hex1501b778

352434040 has 128 divisors (see below), whose sum is σ = 985190400. Its totient is φ = 110730240.

The previous prime is 352434031. The next prime is 352434041. The reversal of 352434040 is 40434253.

It is a junction number, because it is equal to n+sod(n) for n = 352433996 and 352434014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352434041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163852 + ... + 165988.

It is an arithmetic number, because the mean of its divisors is an integer number (7696800).

Almost surely, 2352434040 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 352434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492595200).

352434040 is an abundant number, since it is smaller than the sum of its proper divisors (632756360).

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

352434040 is a wasteful number, since it uses less digits than its factorization.

352434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 352434040 is about 18773.2266805683. The cubic root of 352434040 is about 706.3597585439.

Adding to 352434040 its reverse (40434253), we get a palindrome (392868293).

The spelling of 352434040 in words is "three hundred fifty-two million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 31 35 38 40 56 62 70 76 95 124 133 140 152 155 190 217 248 266 280 310 380 434 532 589 620 665 760 868 1064 1085 1178 1240 1330 1736 2137 2170 2356 2660 2945 4123 4274 4340 4712 5320 5890 8246 8548 8680 10685 11780 14959 16492 17096 20615 21370 23560 29918 32984 40603 41230 42740 59836 66247 74795 81206 82460 85480 119672 132494 149590 162412 164920 203015 264988 284221 299180 324824 331235 406030 463729 529976 568442 598360 662470 812060 927458 1136884 1258693 1324940 1421105 1624120 1854916 2273768 2318645 2517386 2649880 2842210 3709832 4637290 5034772 5684420 6293465 8810851 9274580 10069544 11368840 12586930 17621702 18549160 25173860 35243404 44054255 50347720 70486808 88108510 176217020 352434040