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4434664344 = 23311160710453
BaseRepresentation
bin1000010000101001…
…11001101110011000
3102110001121021211120
410020110321232120
533040233224334
62012014125240
7214616011365
oct41024715630
912401537746
104434664344
111976285a60
12a391b0820
135589ac056
14300d7d46c
151ae4d4949
hex108539b98

4434664344 has 64 divisors (see below), whose sum is σ = 12103223040. Its totient is φ = 1342872960.

The previous prime is 4434664343. The next prime is 4434664379.

4434664344 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4434664296 and 4434664305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434664343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419022 + ... + 429474.

It is an arithmetic number, because the mean of its divisors is an integer number (189112860).

Almost surely, 24434664344 is an apocalyptic number.

4434664344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4434664344 is an abundant number, since it is smaller than the sum of its proper divisors (7668558696).

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

4434664344 is a wasteful number, since it uses less digits than its factorization.

4434664344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12080 (or 12076 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The square root of 4434664344 is about 66593.2755163763. The cubic root of 4434664344 is about 1642.9345071109.

The spelling of 4434664344 in words is "four billion, four hundred thirty-four million, six hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1607 3214 4821 6428 9642 10453 12856 17677 19284 20906 31359 35354 38568 41812 53031 62718 70708 83624 106062 114983 125436 141416 212124 229966 250872 344949 424248 459932 689898 919864 1379796 2759592 16797971 33595942 50393913 67191884 100787826 134383768 184777681 201575652 369555362 403151304 554333043 739110724 1108666086 1478221448 2217332172 4434664344