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1341012024 = 23351125701
BaseRepresentation
bin100111111101110…
…0011100000111000
310110110100110200000
41033323203200320
510221244341044
6341022313000
745142262022
oct11773434070
93413313600
101341012024
11628a6a200
12315128760
13184a97351
14ca159012
157cae1d69
hex4fee3838

1341012024 has 144 divisors (see below), whose sum is σ = 4140678360. Its totient is φ = 406296000.

The previous prime is 1341012011. The next prime is 1341012041. The reversal of 1341012024 is 4202101431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1341011988 and 1341012006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232374 + ... + 238074.

Almost surely, 21341012024 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 1341012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070339180).

1341012024 is an abundant number, since it is smaller than the sum of its proper divisors (2799666336).

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

1341012024 is a wasteful number, since it uses less digits than its factorization.

1341012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1341012024 is about 36619.8310209100. The cubic root of 1341012024 is about 1102.7512463631.

Adding to 1341012024 its reverse (4202101431), we get a palindrome (5543113455).

The spelling of 1341012024 in words is "one billion, three hundred forty-one million, twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 243 264 297 324 363 396 484 486 594 648 726 792 891 968 972 1089 1188 1452 1782 1944 2178 2376 2673 2904 3267 3564 4356 5346 5701 6534 7128 8712 9801 10692 11402 13068 17103 19602 21384 22804 26136 29403 34206 39204 45608 51309 58806 62711 68412 78408 102618 117612 125422 136824 153927 188133 205236 235224 250844 307854 376266 410472 461781 501688 564399 615708 689821 752532 923562 1128798 1231416 1379642 1385343 1505064 1693197 1847124 2069463 2257596 2759284 2770686 3386394 3694248 4138926 4515192 5079591 5518568 5541372 6208389 6772788 8277852 10159182 11082744 12416778 13545576 15238773 16555704 18625167 20318364 24833556 30477546 37250334 40636728 49667112 55875501 60955092 74500668 111751002 121910184 149001336 167626503 223502004 335253006 447004008 670506012 1341012024