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2344144032 = 2532181193233
BaseRepresentation
bin1000101110111000…
…1100110010100000
320001100220212002100
42023232030302200
514300100102112
61024335050400
7112042616106
oct21356146240
96040825070
102344144032
11aa323211a
12555070a00
132b485cc99
1418347dc76
15dabe12dc
hex8bb8cca0

2344144032 has 144 divisors (see below), whose sum is σ = 6766636968. Its totient is φ = 769720320.

The previous prime is 2344144013. The next prime is 2344144039. The reversal of 2344144032 is 2304414432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 627201936 + 1716942096 = 25044^2 + 41436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23441440322 = 10990022485522434048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2344143987 and 2344144005.

It is not an unprimeable number, because it can be changed into a prime (2344144039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10060588 + ... + 10060820.

Almost surely, 22344144032 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 2344144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383318484).

2344144032 is an abundant number, since it is smaller than the sum of its proper divisors (4422492936).

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

2344144032 is a wasteful number, since it uses less digits than its factorization.

2344144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2344144032 is about 48416.3612015608. The cubic root of 2344144032 is about 1328.3976466815.

Adding to 2344144032 its reverse (2304414432), we get a palindrome (4648558464).

The spelling of 2344144032 in words is "two billion, three hundred forty-four million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 193 233 288 362 386 466 543 579 699 724 772 932 1086 1158 1398 1448 1544 1629 1737 1864 2097 2172 2316 2796 2896 3088 3258 3474 3728 4194 4344 4632 5592 5792 6176 6516 6948 7456 8388 8688 9264 11184 13032 13896 16776 17376 18528 22368 26064 27792 33552 34933 42173 44969 52128 55584 67104 69866 84346 89938 104799 126519 134907 139732 168692 179876 209598 253038 269814 279464 314397 337384 359752 379557 404721 419196 506076 539628 558928 628794 674768 719504 759114 809442 838392 1012152 1079256 1117856 1257588 1349536 1439008 1518228 1618884 1676784 2024304 2158512 2515176 3036456 3237768 3353568 4048608 4317024 5030352 6072912 6475536 8139389 10060704 12145824 12951072 16278778 24418167 32557556 48836334 65115112 73254501 97672668 130230224 146509002 195345336 260460448 293018004 390690672 586036008 781381344 1172072016 2344144032