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146321340 = 223511475389
BaseRepresentation
bin10001011100010…
…10111110111100
3101012022220010220
420232022332330
5244424240330
622304101340
73424465554
oct1056127674
9335286126
10146321340
117565a430
1241004850
1324411699
141560c164
15cca4710
hex8b8afbc

146321340 has 192 divisors, whose sum is σ = 470292480. Its totient is φ = 33679360.

The previous prime is 146321339. The next prime is 146321341. The reversal of 146321340 is 43123641.

It is an interprime number because it is at equal distance from previous prime (146321339) and next prime (146321341).

It is a super-3 number, since 3×1463213403 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146321340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146321341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1644016 + ... + 1644104.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2146321340 is an apocalyptic number.

146321340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146240).

146321340 is an abundant number, since it is smaller than the sum of its proper divisors (323971140).

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

146321340 is a wasteful number, since it uses less digits than its factorization.

146321340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 146321340 is about 12096.3358088307. The cubic root of 146321340 is about 526.9497747948.

Adding to 146321340 its reverse (43123641), we get a palindrome (189444981).

The spelling of 146321340 in words is "one hundred forty-six million, three hundred twenty-one thousand, three hundred forty".