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9034146 = 2331167227
BaseRepresentation
bin100010011101…
…100110100010
3121222222112000
4202131212202
54303043041
6521344430
7136534422
oct42354642
917888460
109034146
115110540
123038116
131b44064
1412b2482
15bd6bb6
hex89d9a2

9034146 has 64 divisors (see below), whose sum is σ = 22325760. Its totient is φ = 2684880.

The previous prime is 9034133. The next prime is 9034163. The reversal of 9034146 is 6414309.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39685 + ... + 39911.

It is an arithmetic number, because the mean of its divisors is an integer number (348840).

Almost surely, 29034146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9034146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162880).

9034146 is an abundant number, since it is smaller than the sum of its proper divisors (13291614).

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

9034146 is a wasteful number, since it uses less digits than its factorization.

9034146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9034146 is about 3005.6856123021. The cubic root of 9034146 is about 208.2711115873.

It can be divided in two parts, 9034 and 146, that added together give a triangular number (9180 = T135).

The spelling of 9034146 in words is "nine million, thirty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 99 134 198 201 227 297 402 454 594 603 681 737 1206 1362 1474 1809 2043 2211 2497 3618 4086 4422 4994 6129 6633 7491 12258 13266 14982 15209 19899 22473 30418 39798 44946 45627 67419 91254 134838 136881 167299 273762 334598 410643 501897 821286 1003794 1505691 3011382 4517073 9034146