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3831221040 = 243573218677
BaseRepresentation
bin1110010001011011…
…1100101100110000
3100220000010012020120
43210112330230300
530321243033130
61432100210240
7163640561433
oct34426745460
910800105216
103831221040
111696696089
128ab099980
134909790ca
14284b7b81a
15176536910
hexe45bcb30

3831221040 has 80 divisors (see below), whose sum is σ = 12039535968. Its totient is φ = 1007659008.

The previous prime is 3831221039. The next prime is 3831221041. The reversal of 3831221040 is 401221383.

3831221040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3831221039) and next prime (3831221041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3831221040.

It is not an unprimeable number, because it can be changed into a prime (3831221041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91819 + ... + 126858.

Almost surely, 23831221040 is an apocalyptic number.

3831221040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3831221040 is an abundant number, since it is smaller than the sum of its proper divisors (8208314928).

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

3831221040 is a wasteful number, since it uses less digits than its factorization.

3831221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218766 (or 218760 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3831221040 is about 61896.8580785810. The cubic root of 3831221040 is about 1564.7527963751.

The spelling of 3831221040 in words is "three billion, eight hundred thirty-one million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 218677 437354 656031 874708 1093385 1312062 1749416 2186770 2624124 3280155 3498832 4373540 5248248 6560310 8747080 10496496 13120620 15963421 17494160 26241240 31926842 47890263 52482480 63853684 79817105 95780526 127707368 159634210 191561052 239451315 255414736 319268420 383122104 478902630 638536840 766244208 957805260 1277073680 1915610520 3831221040