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3034104040 = 2351122112971
BaseRepresentation
bin1011010011011000…
…1100000011101000
321211110012110021201
42310312030003220
522203212312130
61221023213544
7135121313242
oct26466140350
97743173251
103034104040
111317744300
127081472b4
13394795546
1420ad63092
1512b57dbca
hexb4d8c0e8

3034104040 has 96 divisors (see below), whose sum is σ = 7541866080. Its totient is φ = 1097712000.

The previous prime is 3034104023. The next prime is 3034104043. The reversal of 3034104040 is 404014303.

It is a junction number, because it is equal to n+sod(n) for n = 3034103999 and 3034104017.

It is not an unprimeable number, because it can be changed into a prime (3034104043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019755 + ... + 1022725.

It is an arithmetic number, because the mean of its divisors is an integer number (78561105).

Almost surely, 23034104040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770933040).

3034104040 is an abundant number, since it is smaller than the sum of its proper divisors (4507762040).

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

3034104040 is a wasteful number, since it uses less digits than its factorization.

3034104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3034104040 is about 55082.7018218969. The cubic root of 3034104040 is about 1447.6941615194.

Adding to 3034104040 its reverse (404014303), we get a palindrome (3438118343).

The spelling of 3034104040 in words is "three billion, thirty-four million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 211 220 242 422 440 484 605 844 968 1055 1210 1688 2110 2321 2420 2971 4220 4642 4840 5942 8440 9284 11605 11884 14855 18568 23210 23768 25531 29710 32681 46420 51062 59420 65362 92840 102124 118840 127655 130724 163405 204248 255310 261448 326810 359491 510620 626881 653620 718982 1021240 1253762 1307240 1437964 1797455 2507524 2875928 3134405 3594910 5015048 6268810 6895691 7189820 12537620 13791382 14379640 25075240 27582764 34478455 55165528 68956910 75852601 137913820 151705202 275827640 303410404 379263005 606820808 758526010 1517052020 3034104040