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345112760 = 23529210259
BaseRepresentation
bin10100100100100…
…000000010111000
3220001101112201002
4110210200002320
51201322102020
654124544132
711360260436
oct2444400270
9801345632
10345112760
11167897363
12976b2048
1356664845
1433b97d56
1520470975
hex149200b8

345112760 has 48 divisors (see below), whose sum is σ = 804281400. Its totient is φ = 133271936.

The previous prime is 345112759. The next prime is 345112783. The reversal of 345112760 is 67211543.

It is a super-2 number, since 2×3451127602 = 238205634229635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28511 + ... + 38769.

Almost surely, 2345112760 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 345112760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402140700).

345112760 is an abundant number, since it is smaller than the sum of its proper divisors (459168640).

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

345112760 is a wasteful number, since it uses less digits than its factorization.

345112760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10328 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 345112760 is about 18577.2107701883. The cubic root of 345112760 is about 701.4343107685.

The spelling of 345112760 in words is "three hundred forty-five million, one hundred twelve thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 6728 8410 10259 16820 20518 33640 41036 51295 82072 102590 205180 297511 410360 595022 1190044 1487555 2380088 2975110 5950220 8627819 11900440 17255638 34511276 43139095 69022552 86278190 172556380 345112760