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1321243434 = 233717375557
BaseRepresentation
bin100111011000000…
…1001001100101010
310102002011010021000
41032300021030222
510201214242214
6335034455430
744512245450
oct11660111452
93362133230
101321243434
11618897825
1230a594576
13180965364
14c76909d0
157aed9809
hex4ec0932a

1321243434 has 128 divisors (see below), whose sum is σ = 3649605120. Its totient is φ = 345627648.

The previous prime is 1321243433. The next prime is 1321243447. The reversal of 1321243434 is 4343421231.

1321243434 is a `hidden beast` number, since 13 + 212 + 4 + 3 + 434 = 666.

It is a super-2 number, since 2×13212434342 = 3491368423776224712, 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 = 1321243398 and 1321243407.

It is not an unprimeable number, because it can be changed into a prime (1321243433) 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 63 ways as a sum of consecutive naturals, for example, 234984 + ... + 240540.

It is an arithmetic number, because the mean of its divisors is an integer number (28512540).

Almost surely, 21321243434 is an apocalyptic number.

1321243434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321243434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824802560).

1321243434 is an abundant number, since it is smaller than the sum of its proper divisors (2328361686).

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

1321243434 is a wasteful number, since it uses less digits than its factorization.

1321243434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629 (or 5623 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1321243434 is about 36348.9124183929. The cubic root of 1321243434 is about 1097.3056465776.

Adding to 1321243434 its reverse (4343421231), we get a palindrome (5664664665).

The spelling of 1321243434 in words is "one billion, three hundred twenty-one million, two hundred forty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 37 42 51 54 63 74 102 111 119 126 153 189 222 238 259 306 333 357 378 459 518 629 666 714 777 918 999 1071 1258 1554 1887 1998 2142 2331 3213 3774 4403 4662 5557 5661 6426 6993 8806 11114 11322 13209 13986 16671 16983 26418 33342 33966 38899 39627 50013 77798 79254 94469 100026 116697 118881 150039 188938 205609 233394 237762 283407 300078 350091 411218 566814 616827 661283 700182 850221 1050273 1233654 1322566 1439263 1700442 1850481 1983849 2100546 2550663 2878526 3495353 3700962 3967698 4317789 5101326 5551443 5951547 6990706 8635578 10486059 11102886 11903094 12953367 17854641 20972118 24467471 25906734 31458177 35709282 38860101 48934942 62916354 73402413 77720202 94374531 146804826 188749062 220207239 440414478 660621717 1321243434