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4354245540 = 2232527118923
BaseRepresentation
bin1000000111000100…
…01000001110100100
3102020110021120222100
410003202020032210
532404141324130
62000022332100
7212621322261
oct40342101644
912213246870
104354245540
111934949137
12a1628a030
13545133168
142d4408268
151a73ebc60
hex1038883a4

4354245540 has 72 divisors (see below), whose sum is σ = 13214230848. Its totient is φ = 1160573760.

The previous prime is 4354245521. The next prime is 4354245589. The reversal of 4354245540 is 455424534.

4354245540 is a `hidden beast` number, since 4 + 35 + 42 + 45 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4354245495 and 4354245504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483519 + ... + 492441.

It is an arithmetic number, because the mean of its divisors is an integer number (183530984).

Almost surely, 24354245540 is an apocalyptic number.

It is an amenable number.

4354245540 is an abundant number, since it is smaller than the sum of its proper divisors (8859985308).

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

4354245540 is a wasteful number, since it uses less digits than its factorization.

4354245540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649 (or 11644 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The square root of 4354245540 is about 65986.7072977581. The cubic root of 4354245540 is about 1632.9427988504.

The spelling of 4354245540 in words is "four billion, three hundred fifty-four million, two hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2711 5422 8133 8923 10844 13555 16266 17846 24399 26769 27110 32532 35692 40665 44615 48798 53538 54220 80307 81330 89230 97596 107076 121995 133845 160614 162660 178460 243990 267690 321228 401535 487980 535380 803070 1606140 24190253 48380506 72570759 96761012 120951265 145141518 217712277 241902530 290283036 362853795 435424554 483805060 725707590 870849108 1088561385 1451415180 2177122770 4354245540