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3445122120 = 23351110125841
BaseRepresentation
bin1100110101011000…
…0110010001001000
322220002121100002120
43031112012101020
524023422401440
61325504531240
7151242024546
oct31526062110
98802540076
103445122120
111508755270
12801920b20
1342b993bcb
14249794d96
151526bbdd0
hexcd586448

3445122120 has 128 divisors (see below), whose sum is σ = 11387018880. Its totient is φ = 826880000.

The previous prime is 3445122113. The next prime is 3445122167. The reversal of 3445122120 is 212215443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120400 + ... + 146240.

It is an arithmetic number, because the mean of its divisors is an integer number (88961085).

Almost surely, 23445122120 is an apocalyptic number.

3445122120 is a gapful number since it is divisible by the number (30) 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 3445122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693509440).

3445122120 is an abundant number, since it is smaller than the sum of its proper divisors (7941896760).

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

3445122120 is a wasteful number, since it uses less digits than its factorization.

3445122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25967 (or 25963 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3445122120 is about 58695.1626626931. The cubic root of 3445122120 is about 1510.3173345893.

Adding to 3445122120 its reverse (212215443), we get a palindrome (3657337563).

It can be divided in two parts, 34 and 45122120, that added together give a palindrome (45122154).

The spelling of 3445122120 in words is "three billion, four hundred forty-five million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 25841 26664 33330 44440 51682 66660 77523 103364 129205 133320 155046 206728 258410 284251 310092 387615 516820 568502 620184 775230 852753 1033640 1137004 1421255 1550460 1705506 2274008 2609941 2842510 3100920 3411012 4263765 5219882 5685020 6822024 7829823 8527530 10439764 11370040 13049705 15659646 17055060 20879528 26099410 28709351 31319292 34110120 39149115 52198820 57418702 62638584 78298230 86128053 104397640 114837404 143546755 156596460 172256106 229674808 287093510 313192920 344512212 430640265 574187020 689024424 861280530 1148374040 1722561060 3445122120