Search a number
-
+
34464984 = 2331724969
BaseRepresentation
bin1000001101111…
…0010011011000
32101212000001220
42003132103120
532310334414
63230412040
7565643001
oct203362330
971760056
1034464984
1118500064
12b661020
1371a93a8
1448121a8
15305bca9
hex20de4d8

34464984 has 48 divisors (see below), whose sum is σ = 91547400. Its totient is φ = 10810368.

The previous prime is 34464977. The next prime is 34465049. The reversal of 34464984 is 48946443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4452 + ... + 9420.

Almost surely, 234464984 is an apocalyptic number.

34464984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34464984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45773700).

34464984 is an abundant number, since it is smaller than the sum of its proper divisors (57082416).

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

34464984 is a wasteful number, since it uses less digits than its factorization.

34464984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4991 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 34464984 is about 5870.6885456478. The cubic root of 34464984 is about 325.4313294699.

The spelling of 34464984 in words is "thirty-four million, four hundred sixty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 4969 6936 9938 14907 19876 29814 39752 59628 84473 119256 168946 253419 337892 506838 675784 1013676 1436041 2027352 2872082 4308123 5744164 8616246 11488328 17232492 34464984