Search a number
-
+
1004034432 = 27316131621
BaseRepresentation
bin111011110110000…
…101100110000000
32120222021020022110
4323312011212000
54024013100212
6243343535320
733611103042
oct7366054600
92528236273
101004034432
11475829a25
122402ba540
1313002061b
14974bba92
155d22ba3c
hex3bd85980

1004034432 has 64 divisors (see below), whose sum is σ = 2670266160. Its totient is φ = 334264320.

The previous prime is 1004034403. The next prime is 1004034469. The reversal of 1004034432 is 2344304001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1004034399 and 1004034408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618582 + ... + 620202.

Almost surely, 21004034432 is an apocalyptic number.

1004034432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004034432 is an abundant number, since it is smaller than the sum of its proper divisors (1666231728).

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

1004034432 is a wasteful number, since it uses less digits than its factorization.

1004034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1004034432 is about 31686.5023629936. The cubic root of 1004034432 is about 1001.3430061936.

Adding to 1004034432 its reverse (2344304001), we get a palindrome (3348338433).

The spelling of 1004034432 in words is "one billion, four million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1613 1621 3226 3242 4839 4863 6452 6484 9678 9726 12904 12968 19356 19452 25808 25936 38712 38904 51616 51872 77424 77808 103232 103744 154848 155616 206464 207488 309696 311232 619392 622464 2614673 5229346 7844019 10458692 15688038 20917384 31376076 41834768 62752152 83669536 125504304 167339072 251008608 334678144 502017216 1004034432