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321400056 = 23337536829
BaseRepresentation
bin10011001010000…
…010110011111000
3211101202210222210
4103022002303320
51124234300211
651520415120
710651566255
oct2312026370
9741683883
10321400056
1115547068a
128b7774a0
1351781563
143098442c
151d3399a6
hex13282cf8

321400056 has 64 divisors (see below), whose sum is σ = 840909600. Its totient is φ = 102256128.

The previous prime is 321400021. The next prime is 321400097. The reversal of 321400056 is 650004123.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 43650 + ... + 50478.

Almost surely, 2321400056 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 321400056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420454800).

321400056 is an abundant number, since it is smaller than the sum of its proper divisors (519509544).

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

321400056 is a wasteful number, since it uses less digits than its factorization.

321400056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 321400056 is about 17927.6338650699. The cubic root of 321400056 is about 684.9864532814.

Adding to 321400056 its reverse (650004123), we get a palindrome (971404179).

The spelling of 321400056 in words is "three hundred twenty-one million, four hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 148 159 212 222 296 318 424 444 636 888 1272 1961 3922 5883 6829 7844 11766 13658 15688 20487 23532 27316 40974 47064 54632 81948 163896 252673 361937 505346 723874 758019 1010692 1085811 1447748 1516038 2021384 2171622 2895496 3032076 4343244 6064152 8686488 13391669 26783338 40175007 53566676 80350014 107133352 160700028 321400056