Search a number
-
+
61484340 = 223561107157
BaseRepresentation
bin1110101010001…
…0110100110100
311021200201122210
43222202310310
5111214444330
610033453420
71344415431
oct352426464
9137621583
1061484340
1131785105
1218711270
13c979788
148246b88
1555e78b0
hex3aa2d34

61484340 has 96 divisors (see below), whose sum is σ = 177738624. Its totient is φ = 15874560.

The previous prime is 61484333. The next prime is 61484341. The reversal of 61484340 is 4348416.

61484340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61484298 and 61484307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61484341) 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, 391542 + ... + 391698.

It is an arithmetic number, because the mean of its divisors is an integer number (1851444).

Almost surely, 261484340 is an apocalyptic number.

61484340 is a gapful number since it is divisible by the number (60) 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 61484340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88869312).

61484340 is an abundant number, since it is smaller than the sum of its proper divisors (116254284).

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

61484340 is a wasteful number, since it uses less digits than its factorization.

61484340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 61484340 is about 7841.1950619788. The cubic root of 61484340 is about 394.6888325424.

The spelling of 61484340 in words is "sixty-one million, four hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 107 122 157 183 214 244 305 314 321 366 428 471 535 610 628 642 732 785 915 942 1070 1220 1284 1570 1605 1830 1884 2140 2355 3140 3210 3660 4710 6420 6527 9420 9577 13054 16799 19154 19581 26108 28731 32635 33598 38308 39162 47885 50397 57462 65270 67196 78324 83995 95770 97905 100794 114924 130540 143655 167990 191540 195810 201588 251985 287310 335980 391620 503970 574620 1007940 1024739 2049478 3074217 4098956 5123695 6148434 10247390 12296868 15371085 20494780 30742170 61484340