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4385340672 = 28317595693
BaseRepresentation
bin1000001010110001…
…01111110100000000
3102022121210101110220
410011120233310000
532440121400142
62003053023040
7213446531526
oct40530576400
912277711426
104385340672
111950457399
12a24784a80
1354b6cc74b
142d85c0316
151a9ee02ec
hex10562fd00

4385340672 has 144 divisors (see below), whose sum is σ = 12569618880. Its totient is φ = 1352237056.

The previous prime is 4385340671. The next prime is 4385340679. The reversal of 4385340672 is 2760435834.

It is a super-3 number, since 3×43853406723 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4385340671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767458 + ... + 773150.

It is an arithmetic number, because the mean of its divisors is an integer number (87289020).

Almost surely, 24385340672 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 4385340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284809440).

4385340672 is an abundant number, since it is smaller than the sum of its proper divisors (8184278208).

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

4385340672 is a wasteful number, since it uses less digits than its factorization.

4385340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 4385340672 is about 66221.9047747798. The cubic root of 4385340672 is about 1636.8207135451.

The spelling of 4385340672 in words is "four billion, three hundred eighty-five million, three hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 64 68 96 102 118 128 136 177 192 204 236 256 272 354 384 408 472 544 708 768 816 944 1003 1088 1416 1632 1888 2006 2176 2832 3009 3264 3776 4012 4352 5664 5693 6018 6528 7552 8024 11328 11386 12036 13056 15104 16048 17079 22656 22772 24072 32096 34158 45312 45544 48144 64192 68316 91088 96288 96781 128384 136632 182176 192576 193562 256768 273264 290343 335887 364352 385152 387124 546528 580686 671774 728704 770304 774248 1007661 1093056 1161372 1343548 1457408 1548496 2015322 2186112 2322744 2687096 3096992 4030644 4372224 4645488 5374192 5710079 6193984 8061288 9290976 10748384 11420158 12387968 16122576 17130237 18581952 21496768 22840316 24775936 32245152 34260474 37163904 42993536 45680632 64490304 68520948 74327808 85987072 91361264 128980608 137041896 182722528 257961216 274083792 365445056 548167584 730890112 1096335168 1461780224 2192670336 4385340672