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146007344 = 2472944953
BaseRepresentation
bin10001011001111…
…10010100110000
3101011201221102102
420230332110300
5244334213334
622253235532
73422020250
oct1054762460
9334657372
10146007344
117546552a
1240a92ba8
13243317a2
1415569960
15cc4167e
hex8b3e530

146007344 has 40 divisors (see below), whose sum is σ = 334457760. Its totient is φ = 60415488.

The previous prime is 146007293. The next prime is 146007371. The reversal of 146007344 is 443700641.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19229 + ... + 25724.

It is an arithmetic number, because the mean of its divisors is an integer number (8361444).

Almost surely, 2146007344 is an apocalyptic number.

146007344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146007344 is an abundant number, since it is smaller than the sum of its proper divisors (188450416).

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

146007344 is a wasteful number, since it uses less digits than its factorization.

146007344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44997 (or 44991 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 146007344 is about 12083.3498666554. The cubic root of 146007344 is about 526.5725716283.

Adding to 146007344 its reverse (443700641), we get a palindrome (589707985).

The spelling of 146007344 in words is "one hundred forty-six million, seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 44953 89906 179812 314671 359624 629342 719248 1258684 1303637 2517368 2607274 5034736 5214548 9125459 10429096 18250918 20858192 36501836 73003672 146007344