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345430782641 = 7267109965303
BaseRepresentation
bin1010000011011010100…
…01110111001010110001
31020000121122221220111102
411001231101313022301
521124420240021031
6422404432254145
733646045130600
oct5015521671261
91200548856442
10345430782641
1112355074275a
1256b440a1355
132676006b609
1412a0caa9a37
158ebad417cb
hex506d4772b1

345430782641 has 24 divisors (see below), whose sum is σ = 411567013440. Its totient is φ = 288988251552.

The previous prime is 345430782637. The next prime is 345430782649. The reversal of 345430782641 is 146287034543.

It is not a de Polignac number, because 345430782641 - 22 = 345430782637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345430782649) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 124805 + ... + 840498.

It is an arithmetic number, because the mean of its divisors is an integer number (17148625560).

Almost surely, 2345430782641 is an apocalyptic number.

It is an amenable number.

345430782641 is a deficient number, since it is larger than the sum of its proper divisors (66136230799).

345430782641 is a wasteful number, since it uses less digits than its factorization.

345430782641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965493 (or 965486 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 345430782641 in words is "three hundred forty-five billion, four hundred thirty million, seven hundred eighty-two thousand, six hundred forty-one".

Divisors: 1 7 49 67 109 469 763 3283 5341 7303 51121 357847 965303 6757121 47299847 64675301 105218027 452727107 736526189 3169089749 5155683323 7049607809 49347254663 345430782641