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146296704 = 2733311151
BaseRepresentation
bin10001011100001…
…00111110000000
3101012021122100110
420232010332000
5244422443304
622303351320
73424334001
oct1056047600
9335248313
10146296704
1175642974
1240bb2540
13244033c8
14156031a8
15cc9c289
hex8b84f80

146296704 has 64 divisors (see below), whose sum is σ = 390113280. Its totient is φ = 48576000.

The previous prime is 146296699. The next prime is 146296729. The reversal of 146296704 is 407692641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 126529 + ... + 127679.

It is an arithmetic number, because the mean of its divisors is an integer number (6095520).

Almost surely, 2146296704 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 146296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195056640).

146296704 is an abundant number, since it is smaller than the sum of its proper divisors (243816576).

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

146296704 is a wasteful number, since it uses less digits than its factorization.

146296704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 146296704 is about 12095.3174410596. The cubic root of 146296704 is about 526.9201991059.

The spelling of 146296704 in words is "one hundred forty-six million, two hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 331 384 662 993 1151 1324 1986 2302 2648 3453 3972 4604 5296 6906 7944 9208 10592 13812 15888 18416 21184 27624 31776 36832 42368 55248 63552 73664 110496 127104 147328 220992 380981 441984 761962 1142943 1523924 2285886 3047848 4571772 6095696 9143544 12191392 18287088 24382784 36574176 48765568 73148352 146296704