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345671682820 = 225149115997209
BaseRepresentation
bin1010000011110111010…
…00110100101100000100
31020001020110020220102021
411001323220310230010
521130413422322240
6422444355452524
733655031552512
oct5017350645404
91201213226367
10345671682820
11123664720612
1256bb08b7144
132679ac460b9
1412a32a974b2
158ed207954a
hex507ba34b04

345671682820 has 24 divisors (see below), whose sum is σ = 730782423000. Its totient is φ = 137340694272.

The previous prime is 345671682793. The next prime is 345671682827. The reversal of 345671682820 is 28286176543.

It can be written as a sum of positive squares in 4 ways, for example, as 63591726276 + 282079956544 = 252174^2 + 531112^2 .

It is a super-2 number, since 2×3456716828202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345671682827) 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 7 ways as a sum of consecutive naturals, for example, 57995625 + ... + 58001584.

It is an arithmetic number, because the mean of its divisors is an integer number (30449267625).

Almost surely, 2345671682820 is an apocalyptic number.

It is an amenable number.

345671682820 is an abundant number, since it is smaller than the sum of its proper divisors (385110740180).

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

345671682820 is a wasteful number, since it uses less digits than its factorization.

345671682820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115997367 (or 115997365 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 345671682820 in words is "three hundred forty-five billion, six hundred seventy-one million, six hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 115997209 231994418 463988836 579986045 1159972090 2319944180 17283584141 34567168282 69134336564 86417920705 172835841410 345671682820