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30023664 = 24311101563
BaseRepresentation
bin111001010000…
…1111111110000
32002111100201120
41302201333300
530141224124
62551302240
7513124356
oct162417760
962440646
1030023664
1115a47250
12a07a980
1362b29a8
143db77d6
152980d79
hex1ca1ff0

30023664 has 80 divisors (see below), whose sum is σ = 85601664. Its totient is φ = 8992000.

The previous prime is 30023663. The next prime is 30023711. The reversal of 30023664 is 46632003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30023663) 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, 53047 + ... + 53609.

Almost surely, 230023664 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 30023664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42800832).

30023664 is an abundant number, since it is smaller than the sum of its proper divisors (55578000).

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

30023664 is a wasteful number, since it uses less digits than its factorization.

30023664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 30023664 is about 5479.3853669914. The cubic root of 30023664 is about 310.8049286233.

Adding to 30023664 its reverse (46632003), we get a palindrome (76655667).

It can be divided in two parts, 3002 and 3664, that added together give a palindrome (6666).

The spelling of 30023664 in words is "thirty million, twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 563 606 808 1111 1126 1212 1616 1689 2222 2252 2424 3333 3378 4444 4504 4848 6193 6666 6756 8888 9008 12386 13332 13512 17776 18579 24772 26664 27024 37158 49544 53328 56863 74316 99088 113726 148632 170589 227452 297264 341178 454904 625493 682356 909808 1250986 1364712 1876479 2501972 2729424 3752958 5003944 7505916 10007888 15011832 30023664