Search a number
-
+
380406552 = 233174321683
BaseRepresentation
bin10110101011001…
…000101100011000
3222111210122200120
4112223020230120
51234341002202
6101425233240
712266255001
oct2653105430
9874718616
10380406552
11185803089
12a7492820
1360a71246
14387441a8
15235e30bc
hex16ac8b18

380406552 has 64 divisors (see below), whose sum is σ = 1030423680. Its totient is φ = 116562432.

The previous prime is 380406547. The next prime is 380406563. The reversal of 380406552 is 255604083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6703 + ... + 28385.

It is an arithmetic number, because the mean of its divisors is an integer number (16100370).

Almost surely, 2380406552 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 380406552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515211840).

380406552 is an abundant number, since it is smaller than the sum of its proper divisors (650017128).

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

380406552 is a wasteful number, since it uses less digits than its factorization.

380406552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21752 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 380406552 is about 19504.0137407663. The cubic root of 380406552 is about 724.5738610286.

The spelling of 380406552 in words is "three hundred eighty million, four hundred six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 344 408 516 731 1032 1462 2193 2924 4386 5848 8772 17544 21683 43366 65049 86732 130098 173464 260196 368611 520392 737222 932369 1105833 1474444 1864738 2211666 2797107 2948888 3729476 4423332 5594214 7458952 8846664 11188428 15850273 22376856 31700546 47550819 63401092 95101638 126802184 190203276 380406552