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3326666436 = 223437927091
BaseRepresentation
bin1100011001001000…
…1110011011000100
322120211201011110000
43012102032123010
523303111311221
61310034001300
7145303124652
oct30622163304
98524634400
103326666436
1114578a8805
1278a116230
1341028aba2
14237b5bdd2
151470bde26
hexc648e6c4

3326666436 has 60 divisors (see below), whose sum is σ = 8719831120. Its totient is φ = 1105922160.

The previous prime is 3326666419. The next prime is 3326666459. The reversal of 3326666436 is 6346666233.

It is a super-2 number, since 2×33266664362 = 22133419152817884192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3326666391 and 3326666400.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109251 + ... + 136341.

Almost surely, 23326666436 is an apocalyptic number.

3326666436 is a gapful number since it is divisible by the number (36) 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 3326666436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359915560).

3326666436 is an abundant number, since it is smaller than the sum of its proper divisors (5393164684).

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

3326666436 is a wasteful number, since it uses less digits than its factorization.

3326666436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27486 (or 27475 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 45.

The square root of 3326666436 is about 57677.2609959939. The cubic root of 3326666436 is about 1492.8050153107.

The spelling of 3326666436 in words is "three billion, three hundred twenty-six million, six hundred sixty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 379 758 1137 1516 2274 3411 4548 6822 10233 13644 20466 27091 30699 40932 54182 61398 81273 108364 122796 162546 243819 325092 487638 731457 975276 1462914 2194371 2925828 4388742 8777484 10267489 20534978 30802467 41069956 61604934 92407401 123209868 184814802 277222203 369629604 554444406 831666609 1108888812 1663333218 3326666436