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3450265820 = 2254313033079
BaseRepresentation
bin1100110110100110…
…1110000011011100
322220110021122220222
43031221232003130
524031232001240
61330211100512
7151333530011
oct31551560334
98813248828
103450265820
111510648861
128035a1738
1342ca75211
1424a333708
15152d85eb5
hexcda6e0dc

3450265820 has 48 divisors (see below), whose sum is σ = 7422159360. Its totient is φ = 1346538816.

The previous prime is 3450265813. The next prime is 3450265831. The reversal of 3450265820 is 285620543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119041 + ... + 1122119.

It is an arithmetic number, because the mean of its divisors is an integer number (154628320).

Almost surely, 23450265820 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 3450265820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711079680).

3450265820 is an abundant number, since it is smaller than the sum of its proper divisors (3971893540).

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

3450265820 is a wasteful number, since it uses less digits than its factorization.

3450265820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 3450265820 is about 58738.9633888784. The cubic root of 3450265820 is about 1511.0686147980.

The spelling of 3450265820 in words is "three billion, four hundred fifty million, two hundred sixty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1303 2606 3079 5212 6158 6515 12316 13030 15395 26060 30790 56029 61580 112058 132397 224116 264794 280145 529588 560290 661985 1120580 1323970 2647940 4011937 8023874 16047748 20059685 40119370 80238740 172513291 345026582 690053164 862566455 1725132910 3450265820