[go: up one dir, main page]

Search a number
-
+
3040331420 = 225731632719
BaseRepresentation
bin1011010100110111…
…1100011010011100
321211212220211122102
42311031330122130
522211311101140
61221404504232
7135225251000
oct26515743234
97755824572
103040331420
111320207aa5
1270a24b078
13395b65b99
1420bb04700
1512bdade15
hexb537c69c

3040331420 has 96 divisors (see below), whose sum is σ = 7494144000. Its totient is φ = 1035623232.

The previous prime is 3040331389. The next prime is 3040331453. The reversal of 3040331420 is 241330403.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3040331392 and 3040331401.

It is a congruent number.

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, 1116821 + ... + 1119539.

It is an arithmetic number, because the mean of its divisors is an integer number (78064000).

Almost surely, 23040331420 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 3040331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747072000).

3040331420 is an abundant number, since it is smaller than the sum of its proper divisors (4453812580).

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

3040331420 is a wasteful number, since it uses less digits than its factorization.

3040331420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3040331420 is about 55139.2003931867. The cubic root of 3040331420 is about 1448.6839299094.

Adding to 3040331420 its reverse (241330403), we get a palindrome (3281661823).

The spelling of 3040331420 in words is "three billion, forty million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 163 196 245 326 343 490 652 686 815 980 1141 1372 1630 1715 2282 2719 3260 3430 4564 5438 5705 6860 7987 10876 11410 13595 15974 19033 22820 27190 31948 38066 39935 54380 55909 76132 79870 95165 111818 133231 159740 190330 223636 266462 279545 380660 443197 532924 559090 666155 886394 932617 1118180 1332310 1772788 1865234 2215985 2664620 3102379 3730468 4431970 4663085 6204758 8863940 9326170 12409516 15511895 18652340 21716653 31023790 43433306 62047580 86866612 108583265 152016571 217166530 304033142 434333060 608066284 760082855 1520165710 3040331420