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345142160 = 245111723071
BaseRepresentation
bin10100100100100…
…111001110010000
3220001110001000222
4110210213032100
51201324022120
654125332212
711360442236
oct2444471620
9801401028
10345142160
11167907460
1297707068
135667503c
1433ba4956
1520479525
hex14927390

345142160 has 80 divisors (see below), whose sum is σ = 926940672. Its totient is φ = 118118400.

The previous prime is 345142139. The next prime is 345142169. The reversal of 345142160 is 61241543.

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

It is a super-2 number, since 2×3451421602 = 238246221218931200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345142169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3425 + ... + 26495.

Almost surely, 2345142160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463470336).

345142160 is an abundant number, since it is smaller than the sum of its proper divisors (581798512).

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

345142160 is a wasteful number, since it uses less digits than its factorization.

345142160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23112 (or 23106 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 345142160 is about 18578.0020454300. The cubic root of 345142160 is about 701.4542284936.

The spelling of 345142160 in words is "three hundred forty-five million, one hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 23071 46142 92284 115355 184568 230710 253781 369136 392207 461420 507562 784414 922840 1015124 1268905 1568828 1845680 1961035 2030248 2537810 3137656 3922070 4060496 4314277 5075620 6275312 7844140 8628554 10151240 15688280 17257108 20302480 21571385 31376560 34514216 43142770 69028432 86285540 172571080 345142160