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345282072 = 233235571123
BaseRepresentation
bin10100100101001…
…001011000011000
3220001201010221220
4110211021120120
51201343011242
654132332040
711361564162
oct2445113030
9801633856
10345282072
111679a2593
1297774020
13566c3925
1433bdd932
15204a5bec
hex14949618

345282072 has 64 divisors (see below), whose sum is σ = 903156480. Its totient is φ = 109794432.

The previous prime is 345282029. The next prime is 345282089. The reversal of 345282072 is 270282543.

It is a super-2 number, since 2×3452820722 = 238439418489226368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306903 + ... + 308025.

It is an arithmetic number, because the mean of its divisors is an integer number (14111820).

Almost surely, 2345282072 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 345282072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451578240).

345282072 is an abundant number, since it is smaller than the sum of its proper divisors (557874408).

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

345282072 is a wasteful number, since it uses less digits than its factorization.

345282072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 345282072 is about 18581.7671926004. The cubic root of 345282072 is about 701.5489996893.

The spelling of 345282072 in words is "three hundred forty-five million, two hundred eighty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 557 1114 1123 1671 2228 2246 3342 3369 4456 4492 6684 6738 8984 12811 13368 13476 25622 25829 26952 38433 51244 51658 76866 77487 102488 103316 153732 154974 206632 307464 309948 619896 625511 1251022 1876533 2502044 3753066 5004088 7506132 14386753 15012264 28773506 43160259 57547012 86320518 115094024 172641036 345282072