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3430654140 = 2235191299359
BaseRepresentation
bin1100110001111011…
…1010000010111100
322212002101021202110
43030132322002330
524011221413030
61324230454020
7151005036054
oct31436720274
98762337673
103430654140
111500573261
127b8b04310
13428999784
142478aa564
151512b01b0
hexcc7ba0bc

3430654140 has 48 divisors (see below), whose sum is σ = 9656156160. Its totient is φ = 910048320.

The previous prime is 3430654121. The next prime is 3430654147. The reversal of 3430654140 is 414560343.

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

It is a junction number, because it is equal to n+sod(n) for n = 3430654098 and 3430654107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430654147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138220 + ... + 161139.

It is an arithmetic number, because the mean of its divisors is an integer number (201169920).

Almost surely, 23430654140 is an apocalyptic number.

3430654140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3430654140 is an abundant number, since it is smaller than the sum of its proper divisors (6225502020).

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

3430654140 is a wasteful number, since it uses less digits than its factorization.

3430654140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299562 (or 299560 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3430654140 is about 58571.7862114517. The cubic root of 3430654140 is about 1508.2001478065.

The spelling of 3430654140 in words is "three billion, four hundred thirty million, six hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 299359 598718 898077 1197436 1496795 1796154 2993590 3592308 4490385 5987180 8980770 17961540 57177569 114355138 171532707 228710276 285887845 343065414 571775690 686130828 857663535 1143551380 1715327070 3430654140