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345705043653 = 32416173151769
BaseRepresentation
bin1010000011111011010…
…00000101011011000101
31020001022210000210212200
411001331220011123011
521131000442344103
6422451550505113
733655615246434
oct5017550053305
91201283023780
10345705043653
11123681537052
1256bbbb05199
13267a4b26a38
1412a3729d11b
158ed4e690a3
hex507da056c5

345705043653 has 24 divisors (see below), whose sum is σ = 511617277080. Its totient is φ = 224810903040.

The previous prime is 345705043601. The next prime is 345705043703. The reversal of 345705043653 is 356340507543.

It is a happy number.

345705043653 is a `hidden beast` number, since 3 + 45 + 70 + 504 + 36 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1490500449 + 344214543204 = 38607^2 + 586698^2 .

It is not a de Polignac number, because 345705043653 - 216 = 345704978117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345705043599 and 345705043608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345705042653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2201953 + ... + 2353721.

It is an arithmetic number, because the mean of its divisors is an integer number (21317386545).

Almost surely, 2345705043653 is an apocalyptic number.

It is an amenable number.

345705043653 is a deficient number, since it is larger than the sum of its proper divisors (165912233427).

345705043653 is a wasteful number, since it uses less digits than its factorization.

345705043653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157989 (or 157986 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 345705043653 in words is "three hundred forty-five billion, seven hundred five million, forty-three thousand, six hundred fifty-three".

Divisors: 1 3 9 41 123 369 6173 18519 55557 151769 253093 455307 759279 1365921 2277837 6222529 18667587 56002761 936870037 2810610111 8431830333 38411671517 115235014551 345705043653