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345963312 = 2434266947
BaseRepresentation
bin10100100111101…
…111101100110000
3220002222202110000
4110213233230300
51202031311222
654155110000
711400432252
oct2447575460
9802882400
10345963312
111683183a2
1297a42300
13568a1a26
1433d39cd2
152058c9ac
hex149efb30

345963312 has 50 divisors (see below), whose sum is σ = 1001321948. Its totient is φ = 115320672.

The previous prime is 345963281. The next prime is 345963313. The reversal of 345963312 is 213369543.

It is a happy number.

345963312 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 633 + 12 = 666.

It is a super-2 number, since 2×3459633122 = 239381226500018688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345963313) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 132178 + ... + 134769.

Almost surely, 2345963312 is an apocalyptic number.

It is an amenable number.

345963312 is an abundant number, since it is smaller than the sum of its proper divisors (655358636).

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

345963312 is a wasteful number, since it uses less digits than its factorization.

345963312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266967 (or 266952 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 345963312 is about 18600.0890320450. The cubic root of 345963312 is about 702.0100809422.

The spelling of 345963312 in words is "three hundred forty-five million, nine hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 266947 533894 800841 1067788 1601682 2135576 2402523 3203364 4271152 4805046 6406728 7207569 9610092 12813456 14415138 19220184 21622707 28830276 38440368 43245414 57660552 86490828 115321104 172981656 345963312