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3878371328 = 21413131139
BaseRepresentation
bin1110011100101011…
…0100000000000000
3101000021211200021112
43213022310000000
530420330340303
61440502542452
7165052420016
oct34712640000
911007750245
103878371328
11171026a867
12902a37a28
1349a6773a0
1428b1328b6
1517a74c0d8
hexe72b4000

3878371328 has 120 divisors (see below), whose sum is σ = 8477478240. Its totient is φ = 1763573760.

The previous prime is 3878371291. The next prime is 3878371337. The reversal of 3878371328 is 8231738783.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27901883 + ... + 27902021.

It is an arithmetic number, because the mean of its divisors is an integer number (70645652).

Almost surely, 23878371328 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 3878371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238739120).

3878371328 is an abundant number, since it is smaller than the sum of its proper divisors (4599106912).

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

3878371328 is a wasteful number, since it uses less digits than its factorization.

3878371328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 50.

The square root of 3878371328 is about 62276.5712607880. The cubic root of 3878371328 is about 1571.1457048918.

The spelling of 3878371328 in words is "three billion, eight hundred seventy-eight million, three hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 131 139 208 256 262 278 416 512 524 556 832 1024 1048 1112 1664 1703 1807 2048 2096 2224 3328 3406 3614 4096 4192 4448 6656 6812 7228 8192 8384 8896 13312 13624 14456 16384 16768 17792 18209 26624 27248 28912 33536 35584 36418 53248 54496 57824 67072 71168 72836 106496 108992 115648 134144 142336 145672 212992 217984 231296 236717 268288 284672 291344 435968 462592 473434 536576 569344 582688 871936 925184 946868 1073152 1138688 1165376 1743872 1850368 1893736 2146304 2277376 2330752 3487744 3700736 3787472 4661504 6975488 7401472 7574944 9323008 13950976 14802944 15149888 18646016 27901952 29605888 30299776 37292032 60599552 74584064 121199104 149168128 242398208 298336256 484796416 969592832 1939185664 3878371328