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434340330140 = 225234720089747
BaseRepresentation
bin1100101001000001011…
…00110111101010011100
31112112002220221220000002
412110200230313222130
524104012111031030
6531311100353432
743244233614413
oct6244054675234
91475086856002
10434340330140
1115822587a732
1270217845878
1331c5bca3812
1417044c3247a
15b4715c1245
hex6520b37a9c

434340330140 has 48 divisors (see below), whose sum is σ = 972022367232. Its totient is φ = 162646583616.

The previous prime is 434340330131. The next prime is 434340330161. The reversal of 434340330140 is 41033043434.

It is a super-2 number, since 2×4343403301402 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 10023254 + ... + 10066493.

It is an arithmetic number, because the mean of its divisors is an integer number (20250465984).

Almost surely, 2434340330140 is an apocalyptic number.

It is an amenable number.

434340330140 is an abundant number, since it is smaller than the sum of its proper divisors (537682037092).

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

434340330140 is a wasteful number, since it uses less digits than its factorization.

434340330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20089826 (or 20089824 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 434340330140 its reverse (41033043434), we get a palindrome (475373373574).

The spelling of 434340330140 in words is "four hundred thirty-four billion, three hundred forty million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 4324 5405 10810 21620 20089747 40179494 80358988 100448735 200897470 401794940 462064181 924128362 944218109 1848256724 1888436218 2310320905 3776872436 4620641810 4721090545 9241283620 9442181090 18884362180 21717016507 43434033014 86868066028 108585082535 217170165070 434340330140