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146323400 = 23521734229
BaseRepresentation
bin10001011100010…
…11011111001000
3101012022222222012
420232023133020
5244424322100
622304115052
73424504556
oct1056133710
9335288865
10146323400
1175660a33
1241005a88
13244125c2
141560cbd6
15cca5135
hex8b8b7c8

146323400 has 48 divisors (see below), whose sum is σ = 342249300. Its totient is φ = 58177280.

The previous prime is 146323399. The next prime is 146323421. The reversal of 146323400 is 4323641.

It is a happy number.

146323400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 131377444 + 14945956 = 11462^2 + 3866^2 .

It is a super-4 number, since 4×1463234004 (a number of 34 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32486 + ... + 36714.

Almost surely, 2146323400 is an apocalyptic number.

146323400 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 146323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171124650).

146323400 is an abundant number, since it is smaller than the sum of its proper divisors (195925900).

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

146323400 is a wasteful number, since it uses less digits than its factorization.

146323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 146323400 is about 12096.4209582835. The cubic root of 146323400 is about 526.9522476887.

The spelling of 146323400 in words is "one hundred forty-six million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4229 4325 6920 8458 8650 16916 17300 21145 33832 34600 42290 84580 105725 169160 211450 422900 731617 845800 1463234 2926468 3658085 5852936 7316170 14632340 18290425 29264680 36580850 73161700 146323400