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4340322432 = 273211173373
BaseRepresentation
bin1000000101011010…
…00001000010000000
3102012111002020001200
410002231001002000
532342110304212
61554404101200
7212362063155
oct40255010200
912174066050
104340322432
111927aa9536
12a11694800
13542299a34
142d262222c
151a609b6dc
hex102b41080

4340322432 has 96 divisors (see below), whose sum is σ = 12504617580. Its totient is φ = 1445050368.

The previous prime is 4340322359. The next prime is 4340322457. The reversal of 4340322432 is 2342230434.

4340322432 is a `hidden beast` number, since 4 + 3 + 403 + 224 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4327534656 + 12787776 = 65784^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4340322396 and 4340322405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1285098 + ... + 1288470.

Almost surely, 24340322432 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 4340322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6252308790).

4340322432 is an abundant number, since it is smaller than the sum of its proper divisors (8164295148).

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

4340322432 is a wasteful number, since it uses less digits than its factorization.

4340322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 4340322432 is about 65881.1234876880. The cubic root of 4340322432 is about 1631.2004445597.

Adding to 4340322432 its reverse (2342230434), we get a palindrome (6682552866).

The spelling of 4340322432 in words is "four billion, three hundred forty million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1117 1152 2234 3351 3373 4468 6702 6746 8936 10053 10119 13404 13492 17872 20106 20238 26808 26984 30357 35744 40212 40476 53616 53968 60714 71488 80424 80952 107232 107936 121428 142976 160848 161904 214464 215872 242856 321696 323808 428928 431744 485712 643392 647616 971424 1286784 1295232 1942848 3767641 3885696 7535282 11302923 15070564 22605846 30141128 33908769 45211692 60282256 67817538 90423384 120564512 135635076 180846768 241129024 271270152 361693536 482258048 542540304 723387072 1085080608 1446774144 2170161216 4340322432