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400144344 = 23337557809
BaseRepresentation
bin10111110110011…
…011011111011000
31000212221102211220
4113312123133120
51304414104334
6103412252040
712626112405
oct2766333730
91025842756
10400144344
11195964406
12b2011020
1364b92202
143b2012ac
15251e1449
hex17d9b7d8

400144344 has 64 divisors (see below), whose sum is σ = 1030514400. Its totient is φ = 129383424.

The previous prime is 400144333. The next prime is 400144357. The reversal of 400144344 is 443441004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494212 + ... + 495020.

Almost surely, 2400144344 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 400144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515257200).

400144344 is an abundant number, since it is smaller than the sum of its proper divisors (630370056).

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

400144344 is a wasteful number, since it uses less digits than its factorization.

400144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 400144344 is about 20003.6082745089. The cubic root of 400144344 is about 736.8949170432.

Adding to 400144344 its reverse (443441004), we get a palindrome (843585348).

The spelling of 400144344 in words is "four hundred million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 557 809 888 1114 1618 1671 2228 2427 3236 3342 4456 4854 6472 6684 9708 13368 19416 20609 29933 41218 59866 61827 82436 89799 119732 123654 164872 179598 239464 247308 359196 450613 494616 718392 901226 1351839 1802452 2703678 3604904 5407356 10814712 16672681 33345362 50018043 66690724 100036086 133381448 200072172 400144344