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4380342528 = 283101149379
BaseRepresentation
bin1000001010001011…
…01011100100000000
3102022021101110022110
410011011223210000
532432331430103
62002353535320
7213356203632
oct40505534400
912267343273
104380342528
1119486531a1
12a22b74540
1354a66c773
142d7a7ca52
151a9854403
hex10516b900

4380342528 has 144 divisors (see below), whose sum is σ = 11883816000. Its totient is φ = 1432166400.

The previous prime is 4380342523. The next prime is 4380342539. The reversal of 4380342528 is 8252430834.

It is not an unprimeable number, because it can be changed into a prime (4380342523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11557443 + ... + 11557821.

It is an arithmetic number, because the mean of its divisors is an integer number (82526500).

Almost surely, 24380342528 is an apocalyptic number.

4380342528 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 4380342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941908000).

4380342528 is an abundant number, since it is smaller than the sum of its proper divisors (7503473472).

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

4380342528 is a wasteful number, since it uses less digits than its factorization.

4380342528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 4380342528 is about 66184.1561704914. The cubic root of 4380342528 is about 1636.1986276531.

The spelling of 4380342528 in words is "four billion, three hundred eighty million, three hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 149 192 202 256 298 303 379 384 404 447 596 606 758 768 808 894 1137 1192 1212 1516 1616 1788 2274 2384 2424 3032 3232 3576 4548 4768 4848 6064 6464 7152 9096 9536 9696 12128 12928 14304 15049 18192 19072 19392 24256 25856 28608 30098 36384 38144 38279 38784 45147 48512 56471 57216 60196 72768 76558 77568 90294 97024 112942 114432 114837 120392 145536 153116 169413 180588 225884 229674 240784 291072 306232 338826 361176 451768 459348 481568 612464 677652 722352 903536 918696 963136 1224928 1355304 1444704 1807072 1837392 1926272 2449856 2710608 2889408 3614144 3674784 3852544 4899712 5421216 5703571 5778816 7228288 7349568 9799424 10842432 11407142 11557632 14456576 14699136 17110713 21684864 22814284 29398272 34221426 43369728 45628568 68442852 91257136 136885704 182514272 273771408 365028544 547542816 730057088 1095085632 1460114176 2190171264 4380342528