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4384193424 = 243138238537
BaseRepresentation
bin1000001010101000…
…10111101110010000
3102022112122002202020
410011110113232100
532434323142144
62003012251440
7213434013012
oct40524275620
912275562666
104384193424
11194a843456
12a24310b80
1354b3ba4c0
142d83a21b2
151a9d65419
hex105517b90

4384193424 has 80 divisors (see below), whose sum is σ = 12213301632. Its totient is φ = 1347185664.

The previous prime is 4384193419. The next prime is 4384193447. The reversal of 4384193424 is 4243914834.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509284 + ... + 517820.

Almost surely, 24384193424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4384193424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106650816).

4384193424 is an abundant number, since it is smaller than the sum of its proper divisors (7829108208).

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

4384193424 is a wasteful number, since it uses less digits than its factorization.

4384193424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9384 (or 9378 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 4384193424 is about 66213.2420592739. The cubic root of 4384193424 is about 1636.6779649951.

The spelling of 4384193424 in words is "four billion, three hundred eighty-four million, one hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 823 1646 2469 3292 4938 6584 8537 9876 10699 13168 17074 19752 21398 25611 32097 34148 39504 42796 51222 64194 68296 85592 102444 110981 128388 136592 171184 204888 221962 256776 332943 409776 443924 513552 665886 887848 1331772 1775696 2663544 5327088 7025951 14051902 21077853 28103804 42155706 56207608 84311412 91337363 112415216 168622824 182674726 274012089 337245648 365349452 548024178 730698904 1096048356 1461397808 2192096712 4384193424