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4304435328 = 273219332
BaseRepresentation
bin1000000001001000…
…00111100010000000
3102002222112222012200
410000210013202000
532303413412303
61551042553200
7211445045064
oct40044074200
912088488180
104304435328
111909817a76
12a01668800
13537a1326b
142cb95daa4
151a2d5d3a3
hex100907880

4304435328 has 72 divisors (see below), whose sum is σ = 12392872245. Its totient is φ = 1434069504.

The previous prime is 4304435327. The next prime is 4304435339. The reversal of 4304435328 is 8235344034.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4158702144 + 145733184 = 64488^2 + 12072^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=46392.

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 = 4304435292 and 4304435301.

It is not an unprimeable number, because it can be changed into a prime (4304435327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2225850 + ... + 2227782.

Almost surely, 24304435328 is an apocalyptic number.

4304435328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4304435328

4304435328 is an abundant number, since it is smaller than the sum of its proper divisors (8088436917).

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

4304435328 is an frugal number, since it uses more digits than its factorization.

4304435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4304435328 is about 65608.1955856126. The cubic root of 4304435328 is about 1626.6922430211.

The spelling of 4304435328 in words is "four billion, three hundred four million, four hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1933 3866 5799 7732 11598 15464 17397 23196 30928 34794 46392 61856 69588 92784 123712 139176 185568 247424 278352 371136 556704 742272 1113408 2226816 3736489 7472978 11209467 14945956 22418934 29891912 33628401 44837868 59783824 67256802 89675736 119567648 134513604 179351472 239135296 269027208 358702944 478270592 538054416 717405888 1076108832 1434811776 2152217664 4304435328