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146725344 = 253518869
BaseRepresentation
bin10001011111011…
…01100111100000
3101020002102100000
420233231213200
5300030202334
622320500000
73431100453
oct1057554740
9336072300
10146725344
1175905a17
124117a600
132452353c
14156b549a
15cd34299
hex8bed9e0

146725344 has 72 divisors (see below), whose sum is σ = 432726840. Its totient is φ = 48905856.

The previous prime is 146725291. The next prime is 146725363. The reversal of 146725344 is 443527641.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146725299 and 146725308.

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, 1659 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (6010095).

Almost surely, 2146725344 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 146725344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216363420).

146725344 is an abundant number, since it is smaller than the sum of its proper divisors (286001496).

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

146725344 is an equidigital number, since it uses as much as digits as its factorization.

146725344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18894 (or 18874 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 146725344 is about 12113.0237348071. The cubic root of 146725344 is about 527.4343115046.

146725344 divided by its sum of digits (36) gives a palindrome (4075704).

The spelling of 146725344 in words is "one hundred forty-six million, seven hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 18869 37738 56607 75476 113214 150952 169821 226428 301904 339642 452856 509463 603808 679284 905712 1018926 1358568 1528389 1811424 2037852 2717136 3056778 4075704 4585167 5434272 6113556 8151408 9170334 12227112 16302816 18340668 24454224 36681336 48908448 73362672 146725344