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3788068350 = 23521121712277
BaseRepresentation
bin1110000111001001…
…0101010111111110
3100202222220210212210
43201302111113332
530224221141400
61423515241250
7162605023023
oct34162252776
910688823783
103788068350
1116742a1900
12898749226
13484a4a581
1427d14754a
15172860950
hexe1c955fe

3788068350 has 144 divisors (see below), whose sum is σ = 10934393904. Its totient is φ = 864230400.

The previous prime is 3788068337. The next prime is 3788068379. The reversal of 3788068350 is 538608873.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3788068350.

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 71 ways as a sum of consecutive naturals, for example, 302412 + ... + 314688.

It is an arithmetic number, because the mean of its divisors is an integer number (75933291).

Almost surely, 23788068350 is an apocalyptic number.

3788068350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3788068350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467196952).

3788068350 is an abundant number, since it is smaller than the sum of its proper divisors (7146325554).

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

3788068350 is a wasteful number, since it uses less digits than its factorization.

3788068350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12331 (or 12315 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3788068350 is about 61547.2854803524. The cubic root of 3788068350 is about 1558.8557725424.

The spelling of 3788068350 in words is "three billion, seven hundred eighty-eight million, sixty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 17 22 25 30 33 34 50 51 55 66 75 85 102 110 121 150 165 170 187 242 255 275 330 363 374 425 510 550 561 605 726 825 850 935 1122 1210 1275 1650 1815 1870 2057 2550 2805 3025 3630 4114 4675 5610 6050 6171 9075 9350 10285 12277 12342 14025 18150 20570 24554 28050 30855 36831 51425 61385 61710 73662 102850 122770 135047 154275 184155 208709 270094 306925 308550 368310 405141 417418 613850 626127 675235 810282 920775 1043545 1252254 1350470 1485517 1841550 2025705 2087090 2295799 2971034 3130635 3376175 4051410 4456551 4591598 5217725 6261270 6752350 6887397 7427585 8913102 10128525 10435450 11478995 13774794 14855170 15653175 20257050 22282755 22957990 25253789 31306350 34436985 37137925 44565510 50507578 57394975 68873970 74275850 75761367 111413775 114789950 126268945 151522734 172184925 222827550 252537890 344369850 378806835 631344725 757613670 1262689450 1894034175 3788068350