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1345352560 = 24537617451
BaseRepresentation
bin101000000110000…
…0111001101110000
310110202111222202121
41100030013031300
510223402240220
6341255324024
745224210446
oct12014071560
93422458677
101345352560
11630464322
12316680614
13185956c06
14ca968b96
157d19ceaa
hex50307370

1345352560 has 80 divisors (see below), whose sum is σ = 3265585632. Its totient is φ = 514944000.

The previous prime is 1345352549. The next prime is 1345352573. The reversal of 1345352560 is 652535431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176835 + ... + 184285.

Almost surely, 21345352560 is an apocalyptic number.

1345352560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632792816).

1345352560 is an abundant number, since it is smaller than the sum of its proper divisors (1920233072).

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

1345352560 is a wasteful number, since it uses less digits than its factorization.

1345352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The square root of 1345352560 is about 36679.0479701968. The cubic root of 1345352560 is about 1103.9397458889.

Adding to 1345352560 its reverse (652535431), we get a palindrome (1997887991).

The spelling of 1345352560 in words is "one billion, three hundred forty-five million, three hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 61 74 80 122 148 185 244 296 305 370 488 592 610 740 976 1220 1480 2257 2440 2960 4514 4880 7451 9028 11285 14902 18056 22570 29804 36112 37255 45140 59608 74510 90280 119216 149020 180560 275687 298040 454511 551374 596080 909022 1102748 1378435 1818044 2205496 2272555 2756870 3636088 4410992 4545110 5513740 7272176 9090220 11027480 16816907 18180440 22054960 33633814 36360880 67267628 84084535 134535256 168169070 269070512 336338140 672676280 1345352560