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195001344 = 210342351
BaseRepresentation
bin10111001111101…
…11110000000000
3111120221002120000
423213313300000
5344410020334
631203320000
74555325016
oct1347676000
9446832500
10195001344
11a008943a
1255380000
1331527015
141bc808b6
15121bd299
hexb9f7c00

195001344 has 110 divisors (see below), whose sum is σ = 582559824. Its totient is φ = 64972800.

The previous prime is 195001333. The next prime is 195001349. The reversal of 195001344 is 443100591.

195001344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195001349) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81769 + ... + 84119.

Almost surely, 2195001344 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 195001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291279912).

195001344 is an abundant number, since it is smaller than the sum of its proper divisors (387558480).

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

195001344 is an equidigital number, since it uses as much as digits as its factorization.

195001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 195001344 is about 13964.2881666056. The cubic root of 195001344 is about 579.8903320196.

The spelling of 195001344 in words is "one hundred ninety-five million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2351 2592 3072 3456 4608 4702 5184 6912 7053 9216 9404 10368 13824 14106 18808 20736 21159 27648 28212 37616 41472 42318 56424 63477 75232 82944 84636 112848 126954 150464 169272 190431 225696 253908 300928 338544 380862 451392 507816 601856 677088 761724 902784 1015632 1203712 1354176 1523448 1805568 2031264 2407424 2708352 3046896 3611136 4062528 5416704 6093792 7222272 8125056 10833408 12187584 16250112 21666816 24375168 32500224 48750336 65000448 97500672 195001344