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3412446744 = 233757135573
BaseRepresentation
bin1100101101100101…
…1100111000011000
322210211010020220110
43023121130320120
523442041243434
61322340324320
7150364214220
oct31331347030
98724106813
103412446744
1114a1267823
127b29a36a0
13424c93275
142452cb080
1514e8b54e9
hexcb65ce18

3412446744 has 64 divisors (see below), whose sum is σ = 9767197440. Its totient is φ = 973249920.

The previous prime is 3412446743. The next prime is 3412446749. The reversal of 3412446744 is 4476442143.

3412446744 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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412446743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78142 + ... + 113714.

It is an arithmetic number, because the mean of its divisors is an integer number (152612460).

Almost surely, 23412446744 is an apocalyptic number.

It is an amenable number.

3412446744 is an abundant number, since it is smaller than the sum of its proper divisors (6354750696).

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

3412446744 is a wasteful number, since it uses less digits than its factorization.

3412446744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36160 (or 36156 counting only the distinct ones).

The product of its digits is 258048, while the sum is 39.

The square root of 3412446744 is about 58416.1513966814. The cubic root of 3412446744 is about 1505.5272735922.

Adding to 3412446744 its reverse (4476442143), we get a palindrome (7888888887).

The spelling of 3412446744 in words is "three billion, four hundred twelve million, four hundred forty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 571 1142 1713 2284 3426 3997 4568 6852 7994 11991 13704 15988 23982 31976 35573 47964 71146 95928 106719 142292 213438 249011 284584 426876 498022 747033 853752 996044 1494066 1992088 2988132 5976264 20312183 40624366 60936549 81248732 121873098 142185281 162497464 243746196 284370562 426555843 487492392 568741124 853111686 1137482248 1706223372 3412446744