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347370240 = 2835712923
BaseRepresentation
bin10100101101000…
…111001100000000
3220012122020101110
4110231013030000
51202411321430
654245203320
711415412140
oct2455071400
9805566343
10347370240
11169099448
1298400540
1356c75229
14341c4920
15207697b0
hex14b47300

347370240 has 144 divisors (see below), whose sum is σ = 1267999488. Its totient is φ = 79392768.

The previous prime is 347370227. The next prime is 347370241. The reversal of 347370240 is 42073743.

347370240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 347370198 and 347370207.

It is not an unprimeable number, because it can be changed into a prime (347370241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20419 + ... + 33341.

It is an arithmetic number, because the mean of its divisors is an integer number (8805552).

Almost surely, 2347370240 is an apocalyptic number.

347370240 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 347370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633999744).

347370240 is an abundant number, since it is smaller than the sum of its proper divisors (920629248).

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

347370240 is a wasteful number, since it uses less digits than its factorization.

347370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12954 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 347370240 is about 18637.8711230655. The cubic root of 347370240 is about 702.9604146527.

The spelling of 347370240 in words is "three hundred forty-seven million, three hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 12923 13440 25846 26880 38769 51692 64615 77538 90461 103384 129230 155076 180922 193845 206768 258460 271383 310152 361844 387690 413536 452305 516920 542766 620304 723688 775380 827072 904610 1033840 1085532 1240608 1356915 1447376 1550760 1654144 1809220 2067680 2171064 2481216 2713830 2894752 3101520 3308288 3618440 4135360 4342128 4962432 5427660 5789504 6203040 7236880 8270720 8684256 9924864 10855320 11579008 12406080 14473760 16541440 17368512 21710640 23158016 24812160 28947520 34737024 43421280 49624320 57895040 69474048 86842560 115790080 173685120 347370240