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4344000430 = 2572112411787
BaseRepresentation
bin1000000101110110…
…00010111110101110
3102012202000002022211
410002323002332232
532344031003210
61555015001034
7212435252200
oct40273027656
912182002284
104344000430
11192a090900
12a1296917a
13542c86b73
142d2cdc770
151a657638a
hex102ec2fae

4344000430 has 144 divisors (see below), whose sum is σ = 10247449968. Its totient is φ = 1320211200.

The previous prime is 4344000421. The next prime is 4344000431. The reversal of 4344000430 is 340004434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4344000431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2429997 + ... + 2431783.

It is an arithmetic number, because the mean of its divisors is an integer number (71162847).

Almost surely, 24344000430 is an apocalyptic number.

4344000430 is an abundant number, since it is smaller than the sum of its proper divisors (5903449538).

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

4344000430 is a wasteful number, since it uses less digits than its factorization.

4344000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4344000430 is about 65909.0314752083. The cubic root of 4344000430 is about 1631.6610753221.

Adding to 4344000430 its reverse (340004434), we get a palindrome (4684004864).

The spelling of 4344000430 in words is "four billion, three hundred forty-four million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 7 10 11 14 22 35 41 49 55 70 77 82 98 110 121 154 205 242 245 287 385 410 451 490 539 574 605 770 847 902 1078 1210 1435 1694 1787 2009 2255 2695 2870 3157 3574 4018 4235 4510 4961 5390 5929 6314 8470 8935 9922 10045 11858 12509 15785 17870 19657 20090 22099 24805 25018 29645 31570 34727 39314 44198 49610 59290 62545 69454 73267 87563 98285 110495 125090 137599 146534 173635 175126 196570 216227 220990 243089 275198 347270 366335 432454 437815 486178 512869 687995 732670 805937 875630 963193 1025738 1081135 1215445 1375990 1513589 1611874 1926386 2162270 2430890 2564345 3027178 3590083 4029685 4815965 5128690 5641559 7180166 7567945 8059370 8865307 9631930 10595123 11283118 15135890 17730614 17950415 21190246 28207795 35900830 39490913 44326535 52975615 56415590 62057149 78981826 88653070 105951230 124114298 197454565 310285745 394909130 434400043 620571490 868800086 2172000215 4344000430