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30034536 = 2337317379
BaseRepresentation
bin111001010010…
…0101001101000
32002111220122020
41302210221220
530142101121
62551424440
7513201150
oct162445150
962456566
1030034536
1115a54434
12a085120
1362b791c
143dbb760
1529841c6
hex1ca4a68

30034536 has 128 divisors (see below), whose sum is σ = 90931200. Its totient is φ = 8087040.

The previous prime is 30034523. The next prime is 30034549. The reversal of 30034536 is 63543003.

It is an interprime number because it is at equal distance from previous prime (30034523) and next prime (30034549).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380145 + ... + 380223.

It is an arithmetic number, because the mean of its divisors is an integer number (710400).

Almost surely, 230034536 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 30034536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45465600).

30034536 is an abundant number, since it is smaller than the sum of its proper divisors (60896664).

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

30034536 is a wasteful number, since it uses less digits than its factorization.

30034536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 30034536 is about 5480.3773592701. The cubic root of 30034536 is about 310.8424397389.

Adding to 30034536 its reverse (63543003), we get a palindrome (93577539).

The spelling of 30034536 in words is "thirty million, thirty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 73 79 84 93 124 146 158 168 186 217 219 237 248 292 316 372 434 438 474 511 553 584 632 651 744 868 876 948 1022 1106 1302 1533 1659 1736 1752 1896 2044 2212 2263 2449 2604 3066 3318 4088 4424 4526 4898 5208 5767 6132 6636 6789 7347 9052 9796 11534 12264 13272 13578 14694 15841 17143 17301 18104 19592 23068 27156 29388 31682 34286 34602 40369 46136 47523 51429 54312 58776 63364 68572 69204 80738 95046 102858 121107 126728 137144 138408 161476 178777 190092 205716 242214 322952 357554 380184 411432 484428 536331 715108 968856 1072662 1251439 1430216 2145324 2502878 3754317 4290648 5005756 7508634 10011512 15017268 30034536