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400320324 = 223211120009
BaseRepresentation
bin10111110111000…
…110011101000100
31000220021101020200
4113313012131010
51304440222244
6103420130500
712630444435
oct2767063504
91026241220
10400320324
11195a74648
12b2096a30
1364c24341
143b24948c
1525228669
hex17dc6744

400320324 has 18 divisors (see below), whose sum is σ = 1011920910. Its totient is φ = 133440096.

The previous prime is 400320311. The next prime is 400320341. The reversal of 400320324 is 423023004.

It can be written as a sum of positive squares in only one way, i.e., 386122500 + 14197824 = 19650^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400320297 and 400320306.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5559969 + ... + 5560040.

Almost surely, 2400320324 is an apocalyptic number.

It is an amenable number.

400320324 is an abundant number, since it is smaller than the sum of its proper divisors (611600586).

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

400320324 is a wasteful number, since it uses less digits than its factorization.

400320324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11120019 (or 11120014 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 400320324 is about 20008.0064974000. The cubic root of 400320324 is about 737.0029278678.

Adding to 400320324 its reverse (423023004), we get a palindrome (823343328).

The spelling of 400320324 in words is "four hundred million, three hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11120009 22240018 33360027 44480036 66720054 100080081 133440108 200160162 400320324