Search a number
-
+
379943946 = 23423107953
BaseRepresentation
bin10110101001010…
…111110000001010
3222110221011010000
4112221113300022
51234231201241
6101411303430
712262320204
oct2651276012
9873834100
10379943946
11185517568
12a72aab76
136093b805
1438663774
1523550eb6
hex16a57c0a

379943946 has 80 divisors (see below), whose sum is σ = 897614784. Its totient is φ = 119883456.

The previous prime is 379943887. The next prime is 379943951. The reversal of 379943946 is 649349973.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 379943892 and 379943901.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 398206 + ... + 399158.

Almost surely, 2379943946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379943946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448807392).

379943946 is an abundant number, since it is smaller than the sum of its proper divisors (517670838).

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

379943946 is a wasteful number, since it uses less digits than its factorization.

379943946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1088 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 379943946 is about 19492.1508818293. The cubic root of 379943946 is about 724.2800278655.

The spelling of 379943946 in words is "three hundred seventy-nine million, nine hundred forty-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 107 138 162 207 214 321 414 621 642 953 963 1242 1863 1906 1926 2461 2859 2889 3726 4922 5718 5778 7383 8577 8667 14766 17154 17334 21919 22149 25731 43838 44298 51462 65757 66447 77193 101971 131514 132894 154386 197271 199341 203942 305913 394542 398682 591813 611826 917739 1183626 1775439 1835478 2345333 2753217 3550878 4690666 5506434 7035999 8259651 14071998 16519302 21107997 42215994 63323991 126647982 189971973 379943946