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30486336 = 2631961137
BaseRepresentation
bin111010001001…
…0111101000000
32010100212101120
41310102331000
530301030321
63005232240
7520062306
oct164227500
963325346
1030486336
1116232921
12a262680
13641546a
144098276
152a22ec6
hex1d12f40

30486336 has 112 divisors (see below), whose sum is σ = 86928960. Its totient is φ = 9400320.

The previous prime is 30486311. The next prime is 30486353. The reversal of 30486336 is 63368403.

30486336 is a nontrivial binomial coefficient, being equal to C(7809, 2).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30486297 and 30486306.

It is a congruent number.

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, 222460 + ... + 222596.

Almost surely, 230486336 is an apocalyptic number.

30486336 is the 7808-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30486336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43464480).

30486336 is an abundant number, since it is smaller than the sum of its proper divisors (56442624).

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

30486336 is a wasteful number, since it uses less digits than its factorization.

30486336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 30486336 is about 5521.4432895757. The cubic root of 30486336 is about 312.3933238021.

The spelling of 30486336 in words is "thirty million, four hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 137 152 183 192 228 244 274 304 366 411 456 488 548 608 732 822 912 976 1096 1159 1216 1464 1644 1824 1952 2192 2318 2603 2928 3288 3477 3648 3904 4384 4636 5206 5856 6576 6954 7809 8357 8768 9272 10412 11712 13152 13908 15618 16714 18544 20824 25071 26304 27816 31236 33428 37088 41648 50142 55632 62472 66856 74176 83296 100284 111264 124944 133712 158783 166592 200568 222528 249888 267424 317566 401136 476349 499776 534848 635132 802272 952698 1270264 1604544 1905396 2540528 3810792 5081056 7621584 10162112 15243168 30486336