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2340300001000 = 235313213847929
BaseRepresentation
bin100010000011100100110…
…000000000111011101000
322021201201112100001012211
4202003210300000323220
5301320413300013000
64551041411014504
7331036546533613
oct42034460007350
98251645301184
102340300001000
11822574380335
1231969589a434
1313c8c6643900
14813b1d7317a
1540d236827ba
hex220e4c00ee8

2340300001000 has 96 divisors (see below), whose sum is σ = 5929960584600. Its totient is φ = 864110707200.

The previous prime is 2340300000991. The next prime is 2340300001027. The reversal of 2340300001000 is 1000030432.

It can be written as a sum of positive squares in 12 ways, for example, as 526144228164 + 1814155772836 = 725358^2 + 1346906^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6754965 + ... + 7092964.

Almost surely, 22340300001000 is an apocalyptic number.

2340300001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2340300001000 is an abundant number, since it is smaller than the sum of its proper divisors (3589660583600).

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

2340300001000 is a wasteful number, since it uses less digits than its factorization.

2340300001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13847976 (or 13847949 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2340300001000 its reverse (1000030432), we get a palindrome (2341300031432).

The spelling of 2340300001000 in words is "two trillion, three hundred forty billion, three hundred million, one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1625 1690 2600 3250 3380 4225 6500 6760 8450 13000 16900 21125 33800 42250 84500 169000 13847929 27695858 55391716 69239645 110783432 138479290 180023077 276958580 346198225 360046154 553917160 692396450 720092308 900115385 1384792900 1440184616 1730991125 1800230770 2340300001 2769585800 3461982250 3600461540 4500576925 4680600002 6923964500 7200923080 9001153850 9361200004 11701500005 13847929000 18002307700 18722400008 22502884625 23403000010 36004615400 45005769250 46806000020 58507500025 90011538500 93612000040 117015000050 180023077000 234030000100 292537500125 468060000200 585075000250 1170150000500 2340300001000