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3412111120 = 245117949081
BaseRepresentation
bin1100101101100000…
…1010111100010000
322210210111012111221
43023120022330100
523442000023440
61322325214424
7150361315555
oct31330127420
98723435457
103412111120
1114a1058650
127b2861414
13424ba6582
14245240a2c
1514e84ad4a
hexcb60af10

3412111120 has 80 divisors (see below), whose sum is σ = 8764081920. Its totient is φ = 1225036800.

The previous prime is 3412111097. The next prime is 3412111127. The reversal of 3412111120 is 211112143.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3412111094 and 3412111103.

It is not an unprimeable number, because it can be changed into a prime (3412111127) 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, 44980 + ... + 94060.

It is an arithmetic number, because the mean of its divisors is an integer number (109551024).

Almost surely, 23412111120 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 3412111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382040960).

3412111120 is an abundant number, since it is smaller than the sum of its proper divisors (5351970800).

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

3412111120 is a wasteful number, since it uses less digits than its factorization.

3412111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49184 (or 49178 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 3412111120 is about 58413.2786273806. The cubic root of 3412111120 is about 1505.4779143211.

Adding to 3412111120 its reverse (211112143), we get a palindrome (3623223263).

The spelling of 3412111120 in words is "three billion, four hundred twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 79 80 88 110 158 176 220 316 395 440 632 790 869 880 1264 1580 1738 3160 3476 4345 6320 6952 8690 13904 17380 34760 49081 69520 98162 196324 245405 392648 490810 539891 785296 981620 1079782 1963240 2159564 2699455 3877399 3926480 4319128 5398910 7754798 8638256 10797820 15509596 19386995 21595640 31019192 38773990 42651389 43191280 62038384 77547980 85302778 155095960 170605556 213256945 310191920 341211112 426513890 682422224 853027780 1706055560 3412111120