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3820108032 = 283213127541
BaseRepresentation
bin1110001110110010…
…0011100100000000
3100212020012121001200
43203230203210000
530310421424112
61431022101200
7163444245126
oct34354434400
910766177050
103820108032
111690395784
128a741a800
1348b587a70
142834c7916
1517558dcdc
hexe3b23900

3820108032 has 108 divisors (see below), whose sum is σ = 11861661084. Its totient is φ = 1175408640.

The previous prime is 3820108009. The next prime is 3820108043. The reversal of 3820108032 is 2308010283.

It can be written as a sum of positive squares in 2 ways, for example, as 1899565056 + 1920542976 = 43584^2 + 43824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3820107987 and 3820108005.

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 11 ways as a sum of consecutive naturals, for example, 33819 + ... + 93722.

Almost surely, 23820108032 is an apocalyptic number.

3820108032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3820108032 is an abundant number, since it is smaller than the sum of its proper divisors (8041553052).

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

3820108032 is a wasteful number, since it uses less digits than its factorization.

3820108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127576 (or 127559 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3820108032 is about 61807.0225136270. The cubic root of 3820108032 is about 1563.2384009631.

The spelling of 3820108032 in words is "three billion, eight hundred twenty million, one hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 127541 255082 382623 510164 765246 1020328 1147869 1530492 1658033 2040656 2295738 3060984 3316066 4081312 4591476 4974099 6121968 6632132 8162624 9182952 9948198 12243936 13264264 14922297 16325248 18365904 19896396 24487872 26528528 29844594 32650496 36731808 39792792 48975744 53057056 59689188 73463616 79585584 97951488 106114112 119378376 146927232 159171168 212228224 238756752 293854464 318342336 424456448 477513504 636684672 955027008 1273369344 1910054016 3820108032