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345244032320 = 26511151649541
BaseRepresentation
bin1010000011000100010…
…01011101110101000000
31020000010122120000012212
411001202021131311000
521124024433013240
6422334121441252
733641316566165
oct5014211356500
91200118500185
10345244032320
1112346528a450
1256ab1640228
1326730473075
14129d1d7606c
158ea9753165
hex506225dd40

345244032320 has 112 divisors (see below), whose sum is σ = 902790631296. Its totient is φ = 124711680000.

The previous prime is 345244032307. The next prime is 345244032377. The reversal of 345244032320 is 23230442543.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206750 + ... + 856290.

Almost surely, 2345244032320 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 345244032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451395315648).

345244032320 is an abundant number, since it is smaller than the sum of its proper divisors (557546598976).

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

345244032320 is a wasteful number, since it uses less digits than its factorization.

345244032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649720 (or 649710 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 345244032320 its reverse (23230442543), we get a palindrome (368474474863).

The spelling of 345244032320 in words is "three hundred forty-five billion, two hundred forty-four million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 151 160 176 220 302 320 352 440 604 704 755 880 1208 1510 1661 1760 2416 3020 3322 3520 4832 6040 6644 8305 9664 12080 13288 16610 24160 26576 33220 48320 53152 66440 106304 132880 265760 531520 649541 1299082 2598164 3247705 5196328 6495410 7144951 10392656 12990820 14289902 20785312 25981640 28579804 35724755 41570624 51963280 57159608 71449510 98080691 103926560 114319216 142899020 196161382 207853120 228638432 285798040 392322764 457276864 490403455 571596080 784645528 980806910 1078887601 1143192160 1569291056 1961613820 2157775202 2286384320 3138582112 3923227640 4315550404 5394438005 6277164224 7846455280 8631100808 10788876010 15692910560 17262201616 21577752020 31385821120 34524403232 43155504040 69048806464 86311008080 172622016160 345244032320