Search a number
-
+
3221434304 = 261123711243
BaseRepresentation
bin1100000000000011…
…0010111111000000
322022111200211002122
43000000302333000
523044141344204
61251354303412
7142554511514
oct30000627700
98274624078
103221434304
111403463300
1275aa27b68
133c4534a5a
14227ba8144
1513cc340be
hexc0032fc0

3221434304 has 84 divisors (see below), whose sum is σ = 7217051352. Its totient is φ = 1424586240.

The previous prime is 3221434297. The next prime is 3221434309. The reversal of 3221434304 is 4034341223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221434309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 280907 + ... + 292149.

It is an arithmetic number, because the mean of its divisors is an integer number (85917278).

Almost surely, 23221434304 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 3221434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608525676).

3221434304 is an abundant number, since it is smaller than the sum of its proper divisors (3995617048).

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

3221434304 is a wasteful number, since it uses less digits than its factorization.

3221434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11314 (or 11293 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3221434304 is about 56757.6805727648. The cubic root of 3221434304 is about 1476.8954743194.

Adding to 3221434304 its reverse (4034341223), we get a palindrome (7255775527).

The spelling of 3221434304 in words is "three billion, two hundred twenty-one million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 121 148 176 242 296 352 407 484 592 704 814 968 1184 1628 1936 2368 3256 3872 4477 6512 7744 8954 11243 13024 17908 22486 26048 35816 44972 71632 89944 123673 143264 179888 247346 286528 359776 415991 494692 719552 831982 989384 1360403 1663964 1978768 2720806 3327928 3957536 4575901 5441612 6655856 7915072 9151802 10883224 13311712 18303604 21766448 26623424 36607208 43532896 50334911 73214416 87065792 100669822 146428832 201339644 292857664 402679288 805358576 1610717152 3221434304