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347223040 = 210573929
BaseRepresentation
bin10100101100100…
…011010000000000
3220012100202110121
4110230203100000
51202342114130
654242110024
711414230033
oct2454432000
9805322417
10347223040
11168aa889a
129834b314
1356c23228
143418701a
152073ad7a
hex14b23400

347223040 has 88 divisors (see below), whose sum is σ = 845247240. Its totient is φ = 136839168.

The previous prime is 347223029. The next prime is 347223047. The reversal of 347223040 is 40322743.

347223040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 369664 + 346853376 = 608^2 + 18624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 347222996 and 347223014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347223047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373296 + ... + 374224.

Almost surely, 2347223040 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 347223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422623620).

347223040 is an abundant number, since it is smaller than the sum of its proper divisors (498024200).

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

347223040 is an equidigital number, since it uses as much as digits as its factorization.

347223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 347223040 is about 18633.9217557657. The cubic root of 347223040 is about 702.8611062101.

Adding to 347223040 its reverse (40322743), we get a palindrome (387545783).

The spelling of 347223040 in words is "three hundred forty-seven million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 512 584 640 730 929 1024 1168 1280 1460 1858 2336 2560 2920 3716 4645 4672 5120 5840 7432 9290 9344 11680 14864 18580 18688 23360 29728 37160 37376 46720 59456 67817 74320 74752 93440 118912 135634 148640 186880 237824 271268 297280 339085 373760 475648 542536 594560 678170 951296 1085072 1189120 1356340 2170144 2378240 2712680 4340288 4756480 5425360 8680576 10850720 17361152 21701440 34722304 43402880 69444608 86805760 173611520 347223040