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340324800100 = 225224114121361
BaseRepresentation
bin1001111001111001111…
…00000101011001100100
31012112102211011010012221
410330330330011121210
521033441122100400
6420202033322124
733405365033245
oct4747474053144
91175384133187
10340324800100
1112137052847a
1255b5a106344
132612828317c
14126868daccc
158cbc952c1a
hex4f3cf05664

340324800100 has 36 divisors (see below), whose sum is σ = 741569204068. Its totient is φ = 135565056000.

The previous prime is 340324800061. The next prime is 340324800103. The reversal of 340324800100 is 1008423043.

It can be written as a sum of positive squares in 6 ways, for example, as 978938944 + 339345861156 = 31288^2 + 582534^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (340324800103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7036581 + ... + 7084780.

Almost surely, 2340324800100 is an apocalyptic number.

It is an amenable number.

340324800100 is an abundant number, since it is smaller than the sum of its proper divisors (401244403968).

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

340324800100 is a wasteful number, since it uses less digits than its factorization.

340324800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121616 (or 14121609 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 340324800100 in words is "three hundred forty billion, three hundred twenty-four million, eight hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 14121361 28242722 56485444 70606805 141213610 282427220 353034025 706068050 1412136100 3403248001 6806496002 13612992004 17016240005 34032480010 68064960020 85081200025 170162400050 340324800100