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1000430064 = 243267971069
BaseRepresentation
bin111011101000010…
…101100111110000
32120201111010001100
4323220111213300
54022102230224
6243134404400
733535341504
oct7350254760
92521433040
101000430064
11473797a07
1223b060700
1312c35ab6a
1496c20304
155cc68ac9
hex3ba159f0

1000430064 has 120 divisors (see below), whose sum is σ = 2873583440. Its totient is φ = 324808704.

The previous prime is 1000430029. The next prime is 1000430069. The reversal of 1000430064 is 4600340001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000430069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935322 + ... + 936390.

Almost surely, 21000430064 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 1000430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436791720).

1000430064 is an abundant number, since it is smaller than the sum of its proper divisors (1873153376).

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

1000430064 is a wasteful number, since it uses less digits than its factorization.

1000430064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1000430064 is about 31629.5757796402. The cubic root of 1000430064 is about 1000.1433341210.

Adding to 1000430064 its reverse (4600340001), we get a palindrome (5600770065).

The spelling of 1000430064 in words is "one billion, four hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 97 134 144 194 201 268 291 388 402 536 582 603 776 804 873 1069 1072 1164 1206 1552 1608 1746 2138 2328 2412 3207 3216 3492 4276 4656 4824 6414 6499 6984 8552 9621 9648 12828 12998 13968 17104 19242 19497 25656 25996 38484 38994 51312 51992 58491 71623 76968 77988 103693 103984 116982 143246 153936 155976 207386 214869 233964 286492 311079 311952 414772 429738 467928 572984 622158 644607 829544 859476 933237 935856 1145968 1244316 1289214 1659088 1718952 1866474 2488632 2578428 3437904 3732948 4977264 5156856 6947431 7465896 10313712 13894862 14931792 20842293 27789724 41684586 55579448 62526879 83369172 111158896 125053758 166738344 250107516 333476688 500215032 1000430064