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3412221472 = 251119350227
BaseRepresentation
bin1100101101100010…
…0101111000100000
322210210200210220001
43023120211320200
523442012041342
61322331425344
7150362255362
oct31330457040
98723623801
103412221472
1114a1123550
127b28b5254
13424c1487a
1424526cd32
1514e86d8b7
hexcb625e20

3412221472 has 48 divisors (see below), whose sum is σ = 7366639392. Its totient is φ = 1542942720.

The previous prime is 3412221469. The next prime is 3412221481. The reversal of 3412221472 is 2741222143.

It is a self number, because there is not a number n which added to its sum of digits gives 3412221472.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42823 + ... + 93049.

It is an arithmetic number, because the mean of its divisors is an integer number (153471654).

Almost surely, 23412221472 is an apocalyptic number.

3412221472 is a gapful number since it is divisible by the number (32) 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 3412221472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683319696).

3412221472 is an abundant number, since it is smaller than the sum of its proper divisors (3954417920).

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

3412221472 is a wasteful number, since it uses less digits than its factorization.

3412221472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50441 (or 50433 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 3412221472 is about 58414.2231994914. The cubic root of 3412221472 is about 1505.4941438343.

The spelling of 3412221472 in words is "three billion, four hundred twelve million, two hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 193 352 386 772 1544 2123 3088 4246 6176 8492 16984 33968 50227 67936 100454 200908 401816 552497 803632 1104994 1607264 2209988 4419976 8839952 9693811 17679904 19387622 38775244 77550488 106631921 155100976 213263842 310201952 426527684 853055368 1706110736 3412221472