Search a number
-
+
3001741020 = 2232573228443
BaseRepresentation
bin1011001011101010…
…1110111011011100
321202012022020120100
42302322232323130
522121421203040
61213505421100
7134246243355
oct26272567334
97665266510
103001741020
11130044a503
126b933a790
1338ab73b25
1420693ad2c
151287d9b30
hexb2eaeedc

3001741020 has 72 divisors (see below), whose sum is σ = 9230051376. Its totient is φ = 789495552.

The previous prime is 3001741013. The next prime is 3001741031. The reversal of 3001741020 is 201471003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3001740984 and 3001741002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101082 + ... + 127361.

It is an arithmetic number, because the mean of its divisors is an integer number (128195158).

Almost surely, 23001741020 is an apocalyptic number.

3001741020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001741020 is an abundant number, since it is smaller than the sum of its proper divisors (6228310356).

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

3001741020 is a wasteful number, since it uses less digits than its factorization.

3001741020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228531 (or 228526 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3001741020 is about 54788.1467107622. The cubic root of 3001741020 is about 1442.5285147254.

The spelling of 3001741020 in words is "three billion, one million, seven hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 228443 456886 685329 913772 1142215 1370658 2055987 2284430 2741316 3426645 4111974 4568860 6853290 8223948 10279935 13706580 16676339 20559870 33352678 41119740 50029017 66705356 83381695 100058034 150087051 166763390 200116068 250145085 300174102 333526780 500290170 600348204 750435255 1000580340 1500870510 3001741020