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3443973136 = 241961229811
BaseRepresentation
bin1100110101000110…
…1101110000010000
322220000102221222121
43031101231300100
524023124120021
61325424144024
7151226201002
oct31521556020
98800387877
103443973136
11150803aa9a
12801468014
1342b680c36
14249576372
15152541741
hexcd46dc10

3443973136 has 80 divisors (see below), whose sum is σ = 7179054400. Its totient is φ = 1595635200.

The previous prime is 3443973121. The next prime is 3443973187. The reversal of 3443973136 is 6313793443.

It is a super-2 number, since 2×34439731362 = 23721901922979348992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3443973092 and 3443973101.

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, 4246171 + ... + 4246981.

It is an arithmetic number, because the mean of its divisors is an integer number (89738180).

Almost surely, 23443973136 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 3443973136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589527200).

3443973136 is an abundant number, since it is smaller than the sum of its proper divisors (3735081264).

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

3443973136 is a wasteful number, since it uses less digits than its factorization.

3443973136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its digits is 489888, while the sum is 43.

The square root of 3443973136 is about 58685.3741233708. The cubic root of 3443973136 is about 1510.1494137489.

The spelling of 3443973136 in words is "three billion, four hundred forty-three million, nine hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 229 244 304 458 488 811 916 976 1159 1622 1832 2318 3244 3664 4351 4636 6488 8702 9272 12976 13969 15409 17404 18544 27938 30818 34808 49471 55876 61636 69616 98942 111752 123272 185719 197884 223504 246544 265411 371438 395768 530822 742876 791536 939949 1061644 1485752 1879898 2123288 2971504 3528661 3759796 4246576 7057322 7519592 11328859 14114644 15039184 22657718 28229288 45315436 56458576 90630872 181261744 215248321 430496642 860993284 1721986568 3443973136