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2401323320 = 235117374761
BaseRepresentation
bin1000111100100001…
…0100100100111000
320012100111212022202
42033020110210320
514404214321240
61034140405332
7113335624424
oct21710244470
96170455282
102401323320
111022536830
12570246848
132c3660096
1418acc5b84
15e0c38315
hex8f214938

2401323320 has 64 divisors (see below), whose sum is σ = 5974979040. Its totient is φ = 861235200.

The previous prime is 2401323319. The next prime is 2401323413. The reversal of 2401323320 is 233231042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2401323292 and 2401323301.

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, 5261 + ... + 69500.

Almost surely, 22401323320 is an apocalyptic number.

2401323320 is a gapful number since it is divisible by the number (20) 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 2401323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987489520).

2401323320 is an abundant number, since it is smaller than the sum of its proper divisors (3573655720).

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

2401323320 is a wasteful number, since it uses less digits than its factorization.

2401323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74856 (or 74852 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2401323320 is about 49003.2990726135. The cubic root of 2401323320 is about 1339.1119310651. Note that the first 3 decimals are identical.

Adding to 2401323320 its reverse (233231042), we get a palindrome (2634554362).

The spelling of 2401323320 in words is "two billion, four hundred one million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 8030 16060 32120 74761 149522 299044 373805 598088 747610 822371 1495220 1644742 2990440 3289484 4111855 5457553 6578968 8223710 10915106 16447420 21830212 27287765 32894840 43660424 54575530 60033083 109151060 120066166 218302120 240132332 300165415 480264664 600330830 1200661660 2401323320