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261340002 = 2327111571201
BaseRepresentation
bin11111001001110…
…11101101100010
3200012202110002100
433210323231202
51013400340002
641533231230
76322232130
oct1744735542
9605673070
10261340002
11124579680
1273632516
13421b3171
14269cc750
1517e2411c
hexf93bb62

261340002 has 96 divisors (see below), whose sum is σ = 711045504. Its totient is φ = 67392000.

The previous prime is 261339989. The next prime is 261340021. The reversal of 261340002 is 200043162.

It is a happy number.

261340002 is a `hidden beast` number, since 261 + 3 + 400 + 0 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 217002 + ... + 218202.

It is an arithmetic number, because the mean of its divisors is an integer number (7406724).

Almost surely, 2261340002 is an apocalyptic number.

261340002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 261340002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355522752).

261340002 is an abundant number, since it is smaller than the sum of its proper divisors (449705502).

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

261340002 is a wasteful number, since it uses less digits than its factorization.

261340002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 261340002 is about 16166.0137943774. The cubic root of 261340002 is about 639.3450347007.

Adding to 261340002 its reverse (200043162), we get a palindrome (461383164).

The spelling of 261340002 in words is "two hundred sixty-one million, three hundred forty thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 157 198 231 314 462 471 693 942 1099 1201 1386 1413 1727 2198 2402 2826 3297 3454 3603 5181 6594 7206 8407 9891 10362 10809 12089 13211 15543 16814 19782 21618 24178 25221 26422 31086 36267 39633 50442 72534 75663 79266 92477 108801 118899 151326 184954 188557 217602 237798 277431 377114 554862 565671 832293 1131342 1319899 1664586 1697013 2074127 2639798 3394026 3959697 4148254 6222381 7919394 11879091 12444762 14518889 18667143 23758182 29037778 37334286 43556667 87113334 130670001 261340002