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3332430420 = 2235116917307
BaseRepresentation
bin1100011010100000…
…1101101001010100
322121020120000010220
43012220031221110
523311100233140
61310401314340
7145403122404
oct30650155124
98536500126
103332430420
111460085330
127900359b0
13411528627
1423881c804
1514785bbd0
hexc6a0da54

3332430420 has 96 divisors (see below), whose sum is σ = 10195186176. Its totient is φ = 806582400.

The previous prime is 3332430401. The next prime is 3332430421. The reversal of 3332430420 is 240342333.

It is a super-2 number, since 2×33324304202 = 22210185008282752800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332430421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452407 + ... + 459713.

It is an arithmetic number, because the mean of its divisors is an integer number (106199856).

Almost surely, 23332430420 is an apocalyptic number.

3332430420 is a gapful number since it is divisible by the number (30) 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 3332430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097593088).

3332430420 is an abundant number, since it is smaller than the sum of its proper divisors (6862755756).

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

3332430420 is a wasteful number, since it uses less digits than its factorization.

3332430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8021 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3332430420 is about 57727.2069305280. The cubic root of 3332430420 is about 1493.6666926690. Note that the first 4 decimals are identical.

Adding to 3332430420 its reverse (240342333), we get a palindrome (3572772753).

The spelling of 3332430420 in words is "three billion, three hundred thirty-two million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 691 1382 2073 2764 3455 4146 6910 7307 7601 8292 10365 13820 14614 15202 20730 21921 22803 29228 30404 36535 38005 41460 43842 45606 73070 76010 80377 87684 91212 109605 114015 146140 152020 160754 219210 228030 241131 321508 401885 438420 456060 482262 803770 964524 1205655 1607540 2411310 4822620 5049137 10098274 15147411 20196548 25245685 30294822 50491370 55540507 60589644 75737055 100982740 111081014 151474110 166621521 222162028 277702535 302948220 333243042 555405070 666486084 833107605 1110810140 1666215210 3332430420