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354327840 = 253252411021
BaseRepresentation
bin10101000111101…
…001110100100000
3220200201201102100
4111013221310200
51211201442330
655054250400
711531510526
oct2507516440
9820651370
10354327840
11172010829
129a7b6a00
1358540059
14350b6316
1521191060
hex151e9d20

354327840 has 144 divisors (see below), whose sum is σ = 1215350136. Its totient is φ = 94003200.

The previous prime is 354327839. The next prime is 354327851. The reversal of 354327840 is 48723453.

It is a happy number.

354327840 is a `hidden beast` number, since 3 + 543 + 2 + 78 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 325297296 + 29030544 = 18036^2 + 5388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 354327795 and 354327804.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 346530 + ... + 347550.

Almost surely, 2354327840 is an apocalyptic number.

354327840 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 354327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607675068).

354327840 is an abundant number, since it is smaller than the sum of its proper divisors (861022296).

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

354327840 is a wasteful number, since it uses less digits than its factorization.

354327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 354327840 is about 18823.5979557576. The cubic root of 354327840 is about 707.6227042689.

The spelling of 354327840 in words is "three hundred fifty-four million, three hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 241 288 360 480 482 720 723 964 1021 1205 1440 1446 1928 2042 2169 2410 2892 3063 3615 3856 4084 4338 4820 5105 5784 6126 7230 7712 8168 8676 9189 9640 10210 10845 11568 12252 14460 15315 16336 17352 18378 19280 20420 21690 23136 24504 28920 30630 32672 34704 36756 38560 40840 43380 45945 49008 57840 61260 69408 73512 81680 86760 91890 98016 115680 122520 147024 163360 173520 183780 245040 246061 294048 347040 367560 490080 492122 735120 738183 984244 1230305 1470240 1476366 1968488 2214549 2460610 2952732 3690915 3936976 4429098 4921220 5905464 7381830 7873952 8858196 9842440 11072745 11810928 14763660 17716392 19684880 22145490 23621856 29527320 35432784 39369760 44290980 59054640 70865568 88581960 118109280 177163920 354327840