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345282036 = 22311171511019
BaseRepresentation
bin10100100101001…
…001010111110100
3220001201010220120
4110211021113310
51201343011121
654132331540
711361564111
oct2445112764
9801633816
10345282036
111679a2560
1297773bb0
13566c38c8
1433bdd908
15204a5bc6
hex149495f4

345282036 has 96 divisors (see below), whose sum is σ = 937681920. Its totient is φ = 97728000.

The previous prime is 345282029. The next prime is 345282089. The reversal of 345282036 is 630282543.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 345281988 and 345282006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338335 + ... + 339353.

It is an arithmetic number, because the mean of its divisors is an integer number (9767520).

Almost surely, 2345282036 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 345282036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

345282036 is an abundant number, since it is smaller than the sum of its proper divisors (592399884).

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

345282036 is a wasteful number, since it uses less digits than its factorization.

345282036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 345282036 is about 18581.7662239089. The cubic root of 345282036 is about 701.5489753075.

The spelling of 345282036 in words is "three hundred forty-five million, two hundred eighty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 151 187 204 302 374 453 561 604 748 906 1019 1122 1661 1812 2038 2244 2567 3057 3322 4076 4983 5134 6114 6644 7701 9966 10268 11209 12228 15402 17323 19932 22418 28237 30804 33627 34646 44836 51969 56474 67254 69292 84711 103938 112948 134508 153869 169422 190553 207876 307738 338844 381106 461607 571659 615476 762212 923214 1143318 1692559 1846428 2286636 2615773 3385118 5077677 5231546 6770236 7847319 10155354 10463092 15694638 20310708 28773503 31389276 57547006 86320509 115094012 172641018 345282036