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3072433420 = 2257294317599
BaseRepresentation
bin1011011100100001…
…1001110100001100
321221010022210022101
42313020121310030
522243020332140
61224512524444
7136065152560
oct26710316414
97833283271
103072433420
111337343781
12718b50724
1339c6c5854
1421209d6a0
1512eb0099a
hexb7219d0c

3072433420 has 96 divisors (see below), whose sum is σ = 7805952000. Its totient is φ = 993371904.

The previous prime is 3072433379. The next prime is 3072433457. The reversal of 3072433420 is 243342703.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 165781 + ... + 183379.

It is an arithmetic number, because the mean of its divisors is an integer number (81312000).

Almost surely, 23072433420 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 3072433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902976000).

3072433420 is an abundant number, since it is smaller than the sum of its proper divisors (4733518580).

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

3072433420 is a wasteful number, since it uses less digits than its factorization.

3072433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17687 (or 17685 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 3072433420 is about 55429.5356285798. The cubic root of 3072433420 is about 1453.7648370584.

The spelling of 3072433420 in words is "three billion, seventy-two million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 43 58 70 86 116 140 145 172 203 215 290 301 406 430 580 602 812 860 1015 1204 1247 1505 2030 2494 3010 4060 4988 6020 6235 8729 12470 17458 17599 24940 34916 35198 43645 70396 87290 87995 123193 174580 175990 246386 351980 492772 510371 615965 756757 1020742 1231930 1513514 2041484 2463860 2551855 3027028 3572597 3783785 5103710 5297299 7145194 7567570 10207420 10594598 14290388 15135140 17862985 21189196 21945953 26486495 35725970 43891906 52972990 71451940 87783812 105945980 109729765 153621671 219459530 307243342 438919060 614486684 768108355 1536216710 3072433420