Search a number
-
+
3000152304 = 243358711831
BaseRepresentation
bin1011001011010010…
…1011000011110000
321202002022112021000
42302310223003300
522121014333204
61213411402000
7134226605502
oct26264530360
97662275230
103000152304
1112aa564916
126b88b3300
1338a738966
14206645d72
151285c4039
hexb2d2b0f0

3000152304 has 80 divisors (see below), whose sum is σ = 8626947840. Its totient is φ = 998262720.

The previous prime is 3000152293. The next prime is 3000152329. The reversal of 3000152304 is 4032510003.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247669 + ... + 259499.

It is an arithmetic number, because the mean of its divisors is an integer number (107836848).

Almost surely, 23000152304 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 3000152304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313473920).

3000152304 is an abundant number, since it is smaller than the sum of its proper divisors (5626795536).

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

3000152304 is a wasteful number, since it uses less digits than its factorization.

3000152304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12435 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3000152304 is about 54773.6460718108. The cubic root of 3000152304 is about 1442.2739766031.

Adding to 3000152304 its reverse (4032510003), we get a palindrome (7032662307).

The spelling of 3000152304 in words is "three billion, one hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 587 1174 1761 2348 3522 4696 5283 7044 9392 10566 11831 14088 15849 21132 23662 28176 31698 35493 42264 47324 63396 70986 84528 94648 106479 126792 141972 189296 212958 253584 283944 319437 425916 567888 638874 851832 1277748 1703664 2555496 5110992 6944797 13889594 20834391 27779188 41668782 55558376 62503173 83337564 111116752 125006346 166675128 187509519 250012692 333350256 375019038 500025384 750038076 1000050768 1500076152 3000152304