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146341944 = 2333796787
BaseRepresentation
bin10001011100100…
…00000000111000
3101012100221102000
420232100000320
5244430420234
622304341000
73424612620
oct1056200070
9335327360
10146341944
1175673961
1241014760
132441ab88
1415615880
15ccaa899
hex8b90038

146341944 has 64 divisors (see below), whose sum is σ = 464582400. Its totient is φ = 41811552.

The previous prime is 146341927. The next prime is 146341981. The reversal of 146341944 is 449143641.

It is a happy number.

146341944 is a `hidden beast` number, since 1 + 4 + 634 + 19 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146341899 and 146341908.

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, 46882 + ... + 49905.

It is an arithmetic number, because the mean of its divisors is an integer number (7259100).

Almost surely, 2146341944 is an apocalyptic number.

146341944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146341944 is an abundant number, since it is smaller than the sum of its proper divisors (318240456).

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

146341944 is a wasteful number, since it uses less digits than its factorization.

146341944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96809 (or 96799 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 146341944 is about 12097.1874417155. The cubic root of 146341944 is about 526.9745074906.

The spelling of 146341944 in words is "one hundred forty-six million, three hundred forty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 96787 193574 290361 387148 580722 677509 774296 871083 1161444 1355018 1742166 2032527 2322888 2613249 2710036 3484332 4065054 5226498 5420072 6097581 6968664 8130108 10452996 12195162 16260216 18292743 20905992 24390324 36585486 48780648 73170972 146341944