Search a number
-
+
379493748 = 22344327239
BaseRepresentation
bin10110100111101…
…001110101110100
3222110002021120000
4112213221311310
51234122244443
6101353511300
712255433524
oct2647516564
9873067500
10379493748
1118523a2a7
12a7112530
136081191a
1438587684
15234b28d3
hex169e9d74

379493748 has 60 divisors (see below), whose sum is σ = 1015180320. Its totient is φ = 123551568.

The previous prime is 379493743. The next prime is 379493789. The reversal of 379493748 is 847394973.

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

It is a junction number, because it is equal to n+sod(n) for n = 379493694 and 379493703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379493743) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 313 + ... + 27551.

It is an arithmetic number, because the mean of its divisors is an integer number (16919672).

Almost surely, 2379493748 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 379493748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507590160).

379493748 is an abundant number, since it is smaller than the sum of its proper divisors (635686572).

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

379493748 is a wasteful number, since it uses less digits than its factorization.

379493748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27298 (or 27287 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 379493748 is about 19480.5992720963. The cubic root of 379493748 is about 723.9938467981.

The spelling of 379493748 in words is "three hundred seventy-nine million, four hundred ninety-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 4644 6966 13932 27239 54478 81717 108956 163434 245151 326868 490302 735453 980604 1171277 1470906 2206359 2342554 2941812 3513831 4412718 4685108 7027662 8825436 10541493 14055324 21082986 31624479 42165972 63248958 94873437 126497916 189746874 379493748