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3102043440 = 243526948049
BaseRepresentation
bin1011100011100101…
…0110110100110000
322000012001010121210
42320321112310300
522323110342230
61231451320120
7136604635266
oct27071266460
98005033553
103102043440
111352028171
12726a50040
133a5892182
14215daa436
151324edeb0
hexb8e56d30

3102043440 has 80 divisors (see below), whose sum is σ = 9652284000. Its totient is φ = 824119296.

The previous prime is 3102043423. The next prime is 3102043457. The reversal of 3102043440 is 443402013.

3102043440 is digitally balanced in base 2 and base 4, because in such bases 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 (3102043423) and next prime (3102043457).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40536 + ... + 88584.

It is an arithmetic number, because the mean of its divisors is an integer number (120653550).

Almost surely, 23102043440 is an apocalyptic number.

3102043440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826142000).

3102043440 is an abundant number, since it is smaller than the sum of its proper divisors (6550240560).

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

3102043440 is a wasteful number, since it uses less digits than its factorization.

3102043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48334 (or 48328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3102043440 is about 55695.9912381493. The cubic root of 3102043440 is about 1458.4200460294.

Adding to 3102043440 its reverse (443402013), we get a palindrome (3545445453).

The spelling of 3102043440 in words is "three billion, one hundred two million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 269 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 10760 12912 16140 21520 32280 48049 64560 96098 144147 192196 240245 288294 384392 480490 576588 720735 768784 960980 1153176 1441470 1921960 2306352 2882940 3843920 5765880 11531760 12925181 25850362 38775543 51700724 64625905 77551086 103401448 129251810 155102172 193877715 206802896 258503620 310204344 387755430 517007240 620408688 775510860 1034014480 1551021720 3102043440