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3821189040 = 243351769069
BaseRepresentation
bin1110001111000010…
…1011011110110000
3100212022020111221000
43203300223132300
530311211022130
61431101202000
7163456366554
oct34360533660
910768214830
103821189040
111690a63979
128a7860300
1348b875b06
142836c9864
15175704260
hexe3c2b7b0

3821189040 has 80 divisors (see below), whose sum is σ = 13161880800. Its totient is φ = 1018983168.

The previous prime is 3821189033. The next prime is 3821189041. The reversal of 3821189040 is 409811283.

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

It is a super-2 number, since 2×38211890402 = 29202971358832243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3821188986 and 3821189004.

It is not an unprimeable number, because it can be changed into a prime (3821189041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882375 + ... + 886694.

It is an arithmetic number, because the mean of its divisors is an integer number (164523510).

Almost surely, 23821189040 is an apocalyptic number.

3821189040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3821189040 is an abundant number, since it is smaller than the sum of its proper divisors (9340691760).

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

3821189040 is a wasteful number, since it uses less digits than its factorization.

3821189040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769091 (or 1769079 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3821189040 is about 61815.7669207460. The cubic root of 3821189040 is about 1563.3858412823.

The spelling of 3821189040 in words is "three billion, eight hundred twenty-one million, one hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1769069 3538138 5307207 7076276 8845345 10614414 14152552 15921621 17690690 21228828 26536035 28305104 31843242 35381380 42457656 47764863 53072070 63686484 70762760 79608105 84915312 95529726 106144140 127372968 141525520 159216210 191059452 212288280 238824315 254745936 318432420 382118904 424576560 477648630 636864840 764237808 955297260 1273729680 1910594520 3821189040