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1020004434 = 233472711483
BaseRepresentation
bin111100110011000…
…000100001010010
32122002022121001000
4330303000201102
54042110120214
6245114122430
734163615601
oct7463004122
92562277030
101020004434
11483847479
12245720416
13133422627
1499677a38
155e833809
hex3ccc0852

1020004434 has 64 divisors (see below), whose sum is σ = 2325012480. Its totient is φ = 331315920.

The previous prime is 1020004423. The next prime is 1020004441. The reversal of 1020004434 is 4344000201.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687057 + ... + 688539.

It is an arithmetic number, because the mean of its divisors is an integer number (36328320).

Almost surely, 21020004434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020004434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162506240).

1020004434 is an abundant number, since it is smaller than the sum of its proper divisors (1305008046).

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

1020004434 is a wasteful number, since it uses less digits than its factorization.

1020004434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1020004434 is about 31937.5082622299. The cubic root of 1020004434 is about 1006.6241681740.

Adding to 1020004434 its reverse (4344000201), we get a palindrome (5364004635).

The spelling of 1020004434 in words is "one billion, twenty million, four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 271 282 423 542 813 846 1269 1483 1626 2439 2538 2966 4449 4878 7317 8898 12737 13347 14634 25474 26694 38211 40041 69701 76422 80082 114633 139402 209103 229266 343899 401893 418206 627309 687798 803786 1205679 1254618 1881927 2411358 3617037 3763854 7234074 10851111 18888971 21702222 37777942 56666913 113333826 170000739 340001478 510002217 1020004434