Search a number
-
+
345033012000 = 2535328752751
BaseRepresentation
bin1010000010101011001…
…00011111001100100000
31012222120221111001202110
411001111210133030200
521123111422341000
6422301142515320
733633145132455
oct5012544371440
91188527431673
10345033012000
1112336715a796
1256a52a35b40
13266c882a981
14129b1d2582c
158e95e6d850
hex505591f320

345033012000 has 96 divisors (see below), whose sum is σ = 1130328186624. Its totient is φ = 92008800000.

The previous prime is 345033011987. The next prime is 345033012013. The reversal of 345033012000 is 210330543.

It is an interprime number because it is at equal distance from previous prime (345033011987) and next prime (345033012013).

It is a tau number, because it is divible by the number of its divisors (96).

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, 14364376 + ... + 14388375.

It is an arithmetic number, because the mean of its divisors is an integer number (11774251944).

Almost surely, 2345033012000 is an apocalyptic number.

345033012000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345033012000 is an abundant number, since it is smaller than the sum of its proper divisors (785295174624).

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

345033012000 is a wasteful number, since it uses less digits than its factorization.

345033012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28752779 (or 28752761 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 345033012000 its reverse (210330543), we get a palindrome (345243342543).

The spelling of 345033012000 in words is "three hundred forty-five billion, thirty-three million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 28752751 57505502 86258253 115011004 143763755 172516506 230022008 287527510 345033012 431291265 460044016 575055020 690066024 718818775 862582530 920088032 1150110040 1380132048 1437637550 1725165060 2156456325 2300220080 2760264096 2875275100 3450330120 3594093875 4312912650 4600440160 5750550200 6900660240 7188187750 8625825300 10782281625 11501100400 13801320480 14376375500 17251650600 21564563250 23002200800 28752751000 34503301200 43129126500 57505502000 69006602400 86258253000 115011004000 172516506000 345033012000