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4434424320 = 2935577399
BaseRepresentation
bin1000010000100111…
…11111001000000000
3102110001011002120210
410020103333020000
533040203034240
62012005034120
7214613661534
oct41023771000
912401132523
104434424320
111976131697
12a390b5940
13558926a21
14300d19bc4
151ae488780
hex1084ff200

4434424320 has 80 divisors (see below), whose sum is σ = 14176324800. Its totient is φ = 1182511104.

The previous prime is 4434424283. The next prime is 4434424339. The reversal of 4434424320 is 234244344.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281020 + ... + 296379.

It is an arithmetic number, because the mean of its divisors is an integer number (177204060).

Almost surely, 24434424320 is an apocalyptic number.

4434424320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434424320 is an abundant number, since it is smaller than the sum of its proper divisors (9741900480).

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

4434424320 is an equidigital number, since it uses as much as digits as its factorization.

4434424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577425 (or 577409 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 4434424320 is about 66591.4733280470. The cubic root of 4434424320 is about 1642.9048655720.

Adding to 4434424320 its reverse (234244344), we get a palindrome (4668668664).

The spelling of 4434424320 in words is "four billion, four hundred thirty-four million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 577399 1154798 1732197 2309596 2886995 3464394 4619192 5773990 6928788 8660985 9238384 11547980 13857576 17321970 18476768 23095960 27715152 34643940 36953536 46191920 55430304 69287880 73907072 92383840 110860608 138575760 147814144 184767680 221721216 277151520 295628288 369535360 443442432 554303040 739070720 886884864 1108606080 1478141440 2217212160 4434424320