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3048306420 = 2235193772269
BaseRepresentation
bin1011010110110001…
…0111011011110100
321212102221000021210
42311230113123310
522220331301140
61222251441420
7135353114505
oct26554273364
97772830253
103048306420
111324764805
12710a56270
133976c8b13
1420cbbcbac
1512c936d80
hexb5b176f4

3048306420 has 96 divisors (see below), whose sum is σ = 9227433600. Its totient is φ = 749274624.

The previous prime is 3048306413. The next prime is 3048306461. The reversal of 3048306420 is 246038403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6046 + ... + 78314.

It is an arithmetic number, because the mean of its divisors is an integer number (96119100).

Almost surely, 23048306420 is an apocalyptic number.

3048306420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3048306420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613716800).

3048306420 is an abundant number, since it is smaller than the sum of its proper divisors (6179127180).

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

3048306420 is a wasteful number, since it uses less digits than its factorization.

3048306420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72337 (or 72335 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3048306420 is about 55211.4700039765. The cubic root of 3048306420 is about 1449.9494901153.

The spelling of 3048306420 in words is "three billion, forty-eight million, three hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8436 10545 14060 21090 42180 72269 144538 216807 289076 361345 433614 722690 867228 1084035 1373111 1445380 2168070 2673953 2746222 4119333 4336140 5347906 5492444 6865555 8021859 8238666 10695812 13369765 13731110 16043718 16477332 20596665 26739530 27462220 32087436 40109295 41193330 50805107 53479060 80218590 82386660 101610214 152415321 160437180 203220428 254025535 304830642 508051070 609661284 762076605 1016102140 1524153210 3048306420