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30069312 = 2637131721
BaseRepresentation
bin111001010110…
…1001001000000
32002120200100020
41302231021000
530144204222
62552253440
7513404430
oct162551100
962520306
1030069312
1115a78579
12a0a1280
1362ca6c0
143dca2c0
15298e65c
hex1cad240

30069312 has 112 divisors (see below), whose sum is σ = 97974912. Its totient is φ = 7925760.

The previous prime is 30069301. The next prime is 30069313. The reversal of 30069312 is 21396003.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (30069313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16612 + ... + 18332.

It is an arithmetic number, because the mean of its divisors is an integer number (874776).

Almost surely, 230069312 is an apocalyptic number.

30069312 is a gapful number since it is divisible by the number (32) 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 30069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48987456).

30069312 is an abundant number, since it is smaller than the sum of its proper divisors (67905600).

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

30069312 is a wasteful number, since it uses less digits than its factorization.

30069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 30069312 is about 5483.5492156084. The cubic root of 30069312 is about 310.9623648727.

It can be divided in two parts, 30069 and 312, that added together give a triangular number (30381 = T246).

The spelling of 30069312 in words is "thirty million, sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 1721 2184 2496 2912 3442 4368 5163 5824 6884 8736 10326 12047 13768 17472 20652 22373 24094 27536 36141 41304 44746 48188 55072 67119 72282 82608 89492 96376 110144 134238 144564 156611 165216 178984 192752 268476 289128 313222 330432 357968 385504 469833 536952 578256 626444 715936 771008 939666 1073904 1156512 1252888 1431872 1879332 2147808 2313024 2505776 3758664 4295616 5011552 7517328 10023104 15034656 30069312