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3038381416 = 23721072677
BaseRepresentation
bin1011010100011010…
…0000010101101000
321211202020202202001
42311012200111220
522210311201131
61221255020344
7135202546600
oct26506402550
97752222661
103038381416
11131a0a5a24
1270966a6b4
13395632435
1420b757c00
1512bb26261
hexb51a0568

3038381416 has 72 divisors (see below), whose sum is σ = 6699477330. Its totient is φ = 1288088256.

The previous prime is 3038381387. The next prime is 3038381441. The reversal of 3038381416 is 6141838303.

It can be written as a sum of positive squares in only one way, i.e., 1635878916 + 1402502500 = 40446^2 + 37450^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4487670 + ... + 4488346.

Almost surely, 23038381416 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 3038381416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349738665).

3038381416 is an abundant number, since it is smaller than the sum of its proper divisors (3661095914).

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

3038381416 is a wasteful number, since it uses less digits than its factorization.

3038381416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 3038381416 is about 55121.5150009504. The cubic root of 3038381416 is about 1448.3741453020.

The spelling of 3038381416 in words is "three billion, thirty-eight million, three hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 392 428 677 749 856 1354 1498 2708 2996 4739 5243 5416 5992 9478 10486 11449 18956 20972 22898 33173 37912 41944 45796 66346 72439 80143 91592 132692 144878 160286 265384 289756 320572 507073 561001 579512 641144 1014146 1122002 2028292 2244004 3549511 4056584 4488008 7099022 7750973 14198044 15501946 28396088 31003892 54256811 62007784 108513622 217027244 379797677 434054488 759595354 1519190708 3038381416