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34995150 = 23252194093
BaseRepresentation
bin1000010101111…
…1101111001110
32102211221022200
42011133233032
532424321100
63250022330
7603311451
oct205375716
972757280
1034995150
1118832413
12b8779a6
1373337b8
14490d498
153113e00
hex215fbce

34995150 has 72 divisors (see below), whose sum is σ = 98992920. Its totient is φ = 8838720.

The previous prime is 34995127. The next prime is 34995157. The reversal of 34995150 is 5159943.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34995157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6504 + ... + 10596.

Almost surely, 234995150 is an apocalyptic number.

34995150 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 34995150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496460).

34995150 is an abundant number, since it is smaller than the sum of its proper divisors (63997770).

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

34995150 is a wasteful number, since it uses less digits than its factorization.

34995150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 34995150 is about 5915.6698690850. The cubic root of 34995150 is about 327.0915211099.

It can be divided in two parts, 3499 and 5150, that added together give a square (8649 = 932).

The spelling of 34995150 in words is "thirty-four million, nine hundred ninety-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4093 4275 8186 8550 12279 20465 24558 36837 40930 61395 73674 77767 102325 122790 155534 184185 204650 233301 306975 368370 388835 466602 613950 699903 777670 920925 1166505 1399806 1841850 1944175 2333010 3499515 3888350 5832525 6999030 11665050 17497575 34995150