Search a number
-
+
379129728 = 2731397103
BaseRepresentation
bin10110100110010…
…000111110000000
3222102101210012210
4112212100332000
51234024122403
6101342022120
712252356325
oct2646207600
9872353183
10379129728
1118501085a
12a6b77940
1360715023
14384d0b4c
152343eb03
hex16990f80

379129728 has 64 divisors (see below), whose sum is σ = 1014451200. Its totient is φ = 125449728.

The previous prime is 379129679. The next prime is 379129739. The reversal of 379129728 is 827921973.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49825 + ... + 56927.

It is an arithmetic number, because the mean of its divisors is an integer number (15850800).

Almost surely, 2379129728 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 379129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507225600).

379129728 is an abundant number, since it is smaller than the sum of its proper divisors (635321472).

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

379129728 is a wasteful number, since it uses less digits than its factorization.

379129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259 (or 7247 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 379129728 is about 19471.2538887458. The cubic root of 379129728 is about 723.7622816724.

The spelling of 379129728 in words is "three hundred seventy-nine million, one hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1668 2224 3336 4448 6672 7103 8896 13344 14206 17792 21309 26688 28412 42618 53376 56824 85236 113648 170472 227296 340944 454592 681888 909184 987317 1363776 1974634 2727552 2961951 3949268 5923902 7898536 11847804 15797072 23695608 31594144 47391216 63188288 94782432 126376576 189564864 379129728