Search a number
-
+
3312000150 = 235231769653
BaseRepresentation
bin1100010101101001…
…0001110010010110
322112211010001002020
43011122101302112
523240333001100
61304351354010
7145034352054
oct30532216226
98484101066
103312000150
11144a5a0808
12785222906
1340a224404
14235c211d4
15145b735a0
hexc5691c96

3312000150 has 48 divisors (see below), whose sum is σ = 8239789584. Its totient is φ = 880401280.

The previous prime is 3312000091. The next prime is 3312000151. The reversal of 3312000150 is 510002133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312000151) 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, 12724 + ... + 82376.

It is an arithmetic number, because the mean of its divisors is an integer number (171662283).

Almost surely, 23312000150 is an apocalyptic number.

3312000150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312000150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119894792).

3312000150 is an abundant number, since it is smaller than the sum of its proper divisors (4927789434).

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

3312000150 is a wasteful number, since it uses less digits than its factorization.

3312000150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69985 (or 69980 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3312000150 is about 57549.9795829677. The cubic root of 3312000150 is about 1490.6080052473.

Adding to 3312000150 its reverse (510002133), we get a palindrome (3822002283).

The spelling of 3312000150 in words is "three billion, three hundred twelve million, one hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 317 634 951 1585 1902 3170 4755 7925 9510 15850 23775 47550 69653 139306 208959 348265 417918 696530 1044795 1741325 2089590 3482650 5223975 10447950 22080001 44160002 66240003 110400005 132480006 220800010 331200015 552000025 662400030 1104000050 1656000075 3312000150