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321434740 = 225113534139
BaseRepresentation
bin10011001010001…
…011010001110100
3211101211120120101
4103022023101310
51124241402430
651521243444
710652102344
oct2312132164
9741746511
10321434740
11155494750
128b793584
1351794293
1430992d24
151d344dca
hex1328b474

321434740 has 48 divisors (see below), whose sum is σ = 738642240. Its totient is φ = 116526080.

The previous prime is 321434731. The next prime is 321434747. The reversal of 321434740 is 47434123.

It is a junction number, because it is equal to n+sod(n) for n = 321434699 and 321434708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321434747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75591 + ... + 79729.

It is an arithmetic number, because the mean of its divisors is an integer number (15388380).

Almost surely, 2321434740 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 321434740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369321120).

321434740 is an abundant number, since it is smaller than the sum of its proper divisors (417207500).

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

321434740 is a wasteful number, since it uses less digits than its factorization.

321434740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 321434740 is about 17928.6011724284. The cubic root of 321434740 is about 685.0110925797.

Adding to 321434740 its reverse (47434123), we get a palindrome (368868863).

The spelling of 321434740 in words is "three hundred twenty-one million, four hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 353 706 1412 1765 3530 3883 4139 7060 7766 8278 15532 16556 19415 20695 38830 41390 45529 77660 82780 91058 182116 227645 455290 910580 1461067 2922134 5844268 7305335 14610670 16071737 29221340 32143474 64286948 80358685 160717370 321434740