Search a number
-
+
30170688 = 2633137137
BaseRepresentation
bin111001100010…
…1111001000000
32002202211101220
41303011321000
530210430223
62554355040
7514306122
oct163057100
962684356
1030170688
1116037759
12a12ba80
1363348a2
144015212
1529ae6e3
hex1cc5e40

30170688 has 112 divisors (see below), whose sum is σ = 85246464. Its totient is φ = 9400320.

The previous prime is 30170671. The next prime is 30170713. The reversal of 30170688 is 88607103.

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 15 ways as a sum of consecutive naturals, for example, 220156 + ... + 220292.

Almost surely, 230170688 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 30170688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42623232).

30170688 is an abundant number, since it is smaller than the sum of its proper divisors (55075776).

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

30170688 is a wasteful number, since it uses less digits than its factorization.

30170688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 30170688 is about 5492.7850859104. The cubic root of 30170688 is about 311.3114334955.

The spelling of 30170688 in words is "thirty million, one hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 137 148 186 192 222 248 274 296 372 411 444 496 548 592 744 822 888 992 1096 1147 1184 1488 1644 1776 1984 2192 2294 2368 2976 3288 3441 3552 4247 4384 4588 5069 5952 6576 6882 7104 8494 8768 9176 10138 12741 13152 13764 15207 16988 18352 20276 25482 26304 27528 30414 33976 36704 40552 50964 55056 60828 67952 73408 81104 101928 110112 121656 135904 157139 162208 203856 220224 243312 271808 314278 324416 407712 471417 486624 628556 815424 942834 973248 1257112 1885668 2514224 3771336 5028448 7542672 10056896 15085344 30170688