Search a number
-
+
4304940380 = 22513229371187
BaseRepresentation
bin1000000001001100…
…00010110101011100
3102010000111122000022
410000212002311130
532304031043010
61551101451312
7211452250406
oct40046026534
912100448008
104304940380
11190a032474
12a01870b38
13537b5c100
142cba51b76
151a2e0cd55
hex100982d5c

4304940380 has 144 divisors (see below), whose sum is σ = 10409303520. Its totient is φ = 1491969024.

The previous prime is 4304940361. The next prime is 4304940391. The reversal of 4304940380 is 830494034.

It is a self number, because there is not a number n which added to its sum of digits gives 4304940380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3626147 + ... + 3627333.

It is an arithmetic number, because the mean of its divisors is an integer number (72286830).

Almost surely, 24304940380 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 4304940380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204651760).

4304940380 is an abundant number, since it is smaller than the sum of its proper divisors (6104363140).

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

4304940380 is a wasteful number, since it uses less digits than its factorization.

4304940380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 4304940380 is about 65612.0444735568. The cubic root of 4304940380 is about 1626.7558620542.

The spelling of 4304940380 in words is "four billion, three hundred four million, nine hundred forty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 29 37 52 58 65 74 116 130 145 148 169 185 260 290 338 370 377 481 580 676 740 754 845 962 1073 1187 1508 1690 1885 1924 2146 2374 2405 3380 3770 4292 4748 4810 4901 5365 5935 6253 7540 9620 9802 10730 11870 12506 13949 15431 19604 21460 23740 24505 25012 27898 30862 31265 34423 43919 49010 55796 61724 62530 68846 69745 77155 87838 98020 125060 137692 139490 154310 172115 175676 181337 200603 219595 278980 308620 344230 362674 401206 439190 447499 570947 688460 725348 802412 878380 894998 906685 1003015 1141894 1273651 1789996 1813370 2006030 2237495 2283788 2547302 2854735 3626740 4012060 4474990 5094604 5709470 5817487 6368255 7422311 8949980 11418940 11634974 12736510 14844622 16557463 23269948 25473020 29087435 29689244 33114926 37111555 58174870 66229852 74223110 82787315 116349740 148446220 165574630 215247019 331149260 430494038 860988076 1076235095 2152470190 4304940380