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30611064 = 23311283127
BaseRepresentation
bin111010011000…
…1011001111000
32010121012111010
41310301121320
530314023224
63012033520
7521122041
oct164613170
963535433
1030611064
1116308600
12a3028a0
13645a173
1440cb8c8
152a49e29
hex1d31678

30611064 has 96 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 9092160.

The previous prime is 30611059. The next prime is 30611069. The reversal of 30611064 is 46011603.

It is an interprime number because it is at equal distance from previous prime (30611059) and next prime (30611069).

It is a self number, because there is not a number n which added to its sum of digits gives 30611064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30611069) 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 23 ways as a sum of consecutive naturals, for example, 240969 + ... + 241095.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 230611064 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 30611064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900480).

30611064 is an abundant number, since it is smaller than the sum of its proper divisors (55189896).

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

30611064 is a wasteful number, since it uses less digits than its factorization.

30611064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 30611064 is about 5532.7266334060. The cubic root of 30611064 is about 312.8187731705.

Adding to 30611064 its reverse (46011603), we get a palindrome (76622667).

The spelling of 30611064 in words is "thirty million, six hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 121 127 132 166 242 249 254 264 332 363 381 484 498 508 664 726 762 913 968 996 1016 1397 1452 1524 1826 1992 2739 2794 2904 3048 3652 4191 5478 5588 7304 8382 10043 10541 10956 11176 15367 16764 20086 21082 21912 30129 30734 31623 33528 40172 42164 46101 60258 61468 63246 80344 84328 92202 115951 120516 122936 126492 184404 231902 241032 252984 347853 368808 463804 695706 927608 1275461 1391412 2550922 2782824 3826383 5101844 7652766 10203688 15305532 30611064