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3339472896 = 21232157577
BaseRepresentation
bin1100011100001100…
…0101000000000000
322121201210210121100
43013003011000000
523314401113041
61311212254400
7145520023404
oct30703050000
98551723540
103339472896
111464055461
12792471400
13412b22c86
14239733104
1514829d6b6
hexc70c5000

3339472896 has 156 divisors (see below), whose sum is σ = 9724453492. Its totient is φ = 1104150528.

The previous prime is 3339472849. The next prime is 3339472933. The reversal of 3339472896 is 6982749333.

It can be written as a sum of positive squares in 2 ways, for example, as 2453815296 + 885657600 = 49536^2 + 29760^2 .

It is a super-2 number, since 2×33394728962 = 22304158446237253632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5787360 + ... + 5787936.

Almost surely, 23339472896 is an apocalyptic number.

3339472896 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 3339472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862226746).

3339472896 is an abundant number, since it is smaller than the sum of its proper divisors (6384980596).

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

3339472896 is a wasteful number, since it uses less digits than its factorization.

3339472896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 739 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3339472896 is about 57788.1726307382. The cubic root of 3339472896 is about 1494.7181485267.

The spelling of 3339472896 in words is "three billion, three hundred thirty-nine million, four hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 512 576 577 628 768 942 1024 1152 1154 1256 1413 1536 1731 1884 2048 2304 2308 2512 2826 3072 3462 3768 4096 4608 4616 5024 5193 5652 6144 6924 7536 9216 9232 10048 10386 11304 12288 13848 15072 18432 18464 20096 20772 22608 27696 30144 36864 36928 40192 41544 45216 55392 60288 73856 80384 83088 90432 90589 110784 120576 147712 160768 166176 180864 181178 221568 241152 271767 295424 321536 332352 361728 362356 443136 482304 543534 590848 643072 664704 723456 724712 815301 886272 964608 1087068 1181696 1329408 1446912 1449424 1630602 1772544 1929216 2174136 2363392 2658816 2893824 2898848 3261204 3545088 4348272 5317632 5787648 5797696 6522408 7090176 8696544 10635264 11595392 13044816 17393088 21270528 23190784 26089632 34786176 46381568 52179264 69572352 92763136 104358528 139144704 185526272 208717056 278289408 371052544 417434112 556578816 834868224 1113157632 1669736448 3339472896