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30032064 = 2632173067
BaseRepresentation
bin111001010010…
…0000011000000
32002111210020200
41302210003000
530142011224
62551405200
7513161016
oct162440300
962453220
1030032064
1115a52597
12a083800
1362b676a
143dba8b6
1529835c9
hex1ca40c0

30032064 has 84 divisors (see below), whose sum is σ = 91174824. Its totient is φ = 9418752.

The previous prime is 30032053. The next prime is 30032099. The reversal of 30032064 is 46023003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8259 + ... + 11325.

Almost surely, 230032064 is an apocalyptic number.

30032064 is a gapful number since it is divisible by the number (34) 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 30032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45587412).

30032064 is an abundant number, since it is smaller than the sum of its proper divisors (61142760).

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

30032064 is a wasteful number, since it uses less digits than its factorization.

30032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30032064 is about 5480.1518227144. The cubic root of 30032064 is about 310.8339115167.

Adding to 30032064 its reverse (46023003), we get a palindrome (76055067).

The spelling of 30032064 in words is "thirty million, thirty-two thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3067 3264 4896 6134 9201 9792 12268 18402 24536 27603 36804 49072 52139 55206 73608 98144 104278 110412 147216 156417 196288 208556 220824 294432 312834 417112 441648 469251 588864 625668 834224 883296 938502 1251336 1668448 1766592 1877004 2502672 3336896 3754008 5005344 7508016 10010688 15016032 30032064