Search a number
-
+
376381434 = 231113449977
BaseRepresentation
bin10110011011110…
…001111111111010
3222020020011021010
4112123301333322
51232323201214
6101203054350
712220121652
oct2633617772
9866204233
10376381434
11183503a40
12a60713b6
135cc92110
1437db7362
152309a659
hex166f1ffa

376381434 has 64 divisors (see below), whose sum is σ = 887241600. Its totient is φ = 104939520.

The previous prime is 376381409. The next prime is 376381463. The reversal of 376381434 is 434183673.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 376381392 and 376381401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384754 + ... + 385730.

It is an arithmetic number, because the mean of its divisors is an integer number (13863150).

Almost surely, 2376381434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376381434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443620800).

376381434 is an abundant number, since it is smaller than the sum of its proper divisors (510860166).

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

376381434 is a wasteful number, since it uses less digits than its factorization.

376381434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455.

The product of its digits is 145152, while the sum is 39.

The square root of 376381434 is about 19400.5524148154. The cubic root of 376381434 is about 722.0091989630.

The spelling of 376381434 in words is "three hundred seventy-six million, three hundred eighty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 449 858 898 977 1347 1954 2694 2931 4939 5837 5862 9878 10747 11674 12701 14817 17511 21494 25402 29634 32241 35022 38103 64207 64482 76206 128414 139711 192621 279422 385242 419133 438673 838266 877346 1316019 2632038 4825403 5702749 9650806 11405498 14476209 17108247 28952418 34216494 62730239 125460478 188190717 376381434