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1346061132 = 2233138311551
BaseRepresentation
bin101000000111011…
…0100001101001100
310110210211222202000
41100032310031030
510224042424012
6341322432300
745233221323
oct12016641514
93423758660
101346061132
116308a8719
12316962690
13185b445a0
14caab10ba
157d28cddc
hex503b434c

1346061132 has 96 divisors (see below), whose sum is σ = 3803842560. Its totient is φ = 409147200.

The previous prime is 1346061107. The next prime is 1346061133. The reversal of 1346061132 is 2311606431.

1346061132 is a `hidden beast` number, since 1 + 3 + 46 + 0 + 611 + 3 + 2 = 666.

It is a super-2 number, since 2×13460611322 = 3623761142162242848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1346061096 and 1346061105.

It is not an unprimeable number, because it can be changed into a prime (1346061133) by changing a digit.

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, 110757 + ... + 122307.

It is an arithmetic number, because the mean of its divisors is an integer number (39623360).

Almost surely, 21346061132 is an apocalyptic number.

1346061132 is a gapful number since it is divisible by the number (12) 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 1346061132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901921280).

1346061132 is an abundant number, since it is smaller than the sum of its proper divisors (2457781428).

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

1346061132 is a wasteful number, since it uses less digits than its factorization.

1346061132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11660 (or 11652 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1346061132 is about 36688.7057825702. The cubic root of 1346061132 is about 1104.1335200043.

Adding to 1346061132 its reverse (2311606431), we get a palindrome (3657667563).

The spelling of 1346061132 in words is "one billion, three hundred forty-six million, sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 234 249 332 351 468 498 702 747 996 1079 1404 1494 2158 2241 2988 3237 4316 4482 6474 8964 9711 11551 12948 19422 23102 29133 34653 38844 46204 58266 69306 103959 116532 138612 150163 207918 300326 311877 415836 450489 600652 623754 900978 958733 1247508 1351467 1801956 1917466 2702934 2876199 3834932 4054401 5405868 5752398 8108802 8628597 11504796 12463529 16217604 17257194 24927058 25885791 34514388 37390587 49854116 51771582 74781174 103543164 112171761 149562348 224343522 336515283 448687044 673030566 1346061132