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3047074416 = 243343916067
BaseRepresentation
bin1011010110011110…
…1010101001110000
321212100121102022000
42311213222221300
522220022340131
61222205214000
7135336463611
oct26547525160
97770542260
103047074416
111323aa3121
12710561300
13397387119
1420c97bc08
1512c791ce6
hexb59eaa70

3047074416 has 80 divisors (see below), whose sum is σ = 8766700800. Its totient is φ = 1013314752.

The previous prime is 3047074363. The next prime is 3047074427. The reversal of 3047074416 is 6144707403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181615 + ... + 197681.

It is an arithmetic number, because the mean of its divisors is an integer number (109583760).

Almost surely, 23047074416 is an apocalyptic number.

3047074416 is a gapful number since it is divisible by the number (36) 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 3047074416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383350400).

3047074416 is an abundant number, since it is smaller than the sum of its proper divisors (5719626384).

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

3047074416 is a wasteful number, since it uses less digits than its factorization.

3047074416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16523 (or 16511 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3047074416 is about 55200.3117382502. The cubic root of 3047074416 is about 1449.7541265225.

The spelling of 3047074416 in words is "three billion, forty-seven million, seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 439 878 1317 1756 2634 3512 3951 5268 7024 7902 10536 11853 15804 16067 21072 23706 31608 32134 47412 48201 63216 64268 94824 96402 128536 144603 189648 192804 257072 289206 385608 433809 578412 771216 867618 1156824 1735236 2313648 3470472 6940944 7053413 14106826 21160239 28213652 42320478 56427304 63480717 84640956 112854608 126961434 169281912 190442151 253922868 338563824 380884302 507845736 761768604 1015691472 1523537208 3047074416