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345403506000 = 2435378223893
BaseRepresentation
bin1010000011010111010…
…01110011110101010000
31020000112202122002222110
411001223221303311100
521124341244143000
6422402015505320
733645264234060
oct5015351636520
91200482562873
10345403506000
11123537302383
1256b36b28240
132675750b0a7
1412a092093a0
158eb8754850
hex506ba73d50

345403506000 has 160 divisors (see below), whose sum is σ = 1272664044288. Its totient is φ = 78949363200.

The previous prime is 345403505971. The next prime is 345403506013. The reversal of 345403506000 is 605304543.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4069947 + ... + 4153946.

Almost surely, 2345403506000 is an apocalyptic number.

345403506000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345403506000 is an abundant number, since it is smaller than the sum of its proper divisors (927260538288).

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

345403506000 is a wasteful number, since it uses less digits than its factorization.

345403506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223926 (or 8223910 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 345403506000 in words is "three hundred forty-five billion, four hundred three million, five hundred six thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 8223893 16447786 24671679 32895572 41119465 49343358 57567251 65791144 82238930 98686716 115134502 123358395 131582288 164477860 172701753 197373432 205597325 230269004 246716790 287836255 328955720 345403506 394746864 411194650 460538008 493433580 575672510 616791975 657911440 690807012 822389300 863508765 921076016 986867160 1027986625 1151345020 1233583950 1381614024 1439181275 1644778600 1727017530 1973734320 2055973250 2302690040 2467167900 2763228048 2878362550 3083959875 3289557200 3454035060 4111946500 4317543825 4605380080 4934335800 5756725100 6167919750 6908070120 7195906375 8223893000 8635087650 9868671600 11513450200 12335839500 13816140240 14391812750 16447786000 17270175300 21587719125 23026900400 24671679000 28783625500 34540350600 43175438250 49343358000 57567251000 69080701200 86350876500 115134502000 172701753000 345403506000