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352054040 = 235132192741
BaseRepresentation
bin10100111110111…
…110101100011000
3220112110012100112
4110332332230120
51210111212130
654533423452
711503260422
oct2476765430
9815405315
10352054040
111707a8458
1299a9ab88
1357c25100
1434a83812
1520d92495
hex14fbeb18

352054040 has 96 divisors (see below), whose sum is σ = 903214800. Its totient is φ = 123102720.

The previous prime is 352054039. The next prime is 352054049. The reversal of 352054040 is 40450253.

It is a junction number, because it is equal to n+sod(n) for n = 352053997 and 352054015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352054049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127070 + ... + 129810.

Almost surely, 2352054040 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 352054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451607400).

352054040 is an abundant number, since it is smaller than the sum of its proper divisors (551160760).

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

352054040 is a wasteful number, since it uses less digits than its factorization.

352054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 352054040 is about 18763.1031548622. The cubic root of 352054040 is about 706.1057977966.

The spelling of 352054040 in words is "three hundred fifty-two million, fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 169 190 247 260 338 380 494 520 676 760 845 988 1235 1352 1690 1976 2470 2741 3211 3380 4940 5482 6422 6760 9880 10964 12844 13705 16055 21928 25688 27410 32110 35633 52079 54820 64220 71266 104158 109640 128440 142532 178165 208316 260395 285064 356330 416632 463229 520790 677027 712660 926458 1041580 1354054 1425320 1852916 2083160 2316145 2708108 3385135 3705832 4632290 5416216 6770270 8801351 9264580 13540540 17602702 18529160 27081080 35205404 44006755 70410808 88013510 176027020 352054040