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146436378 = 23112401503
BaseRepresentation
bin10001011101001…
…11000100011010
3101012112201221120
420232213010122
5244441431003
622310350110
73425455134
oct1056470432
9335481846
10146436378
1175728900
124105b336
1324451b5a
141563c054
15ccc8853
hex8ba711a

146436378 has 48 divisors (see below), whose sum is σ = 323362368. Its totient is φ = 44176000.

The previous prime is 146436359. The next prime is 146436397. The reversal of 146436378 is 873634641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146436359) and next prime (146436397).

It is a super-2 number, since 2×1464363782 = 42887225603517768, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

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 23 ways as a sum of consecutive naturals, for example, 290875 + ... + 291377.

It is an arithmetic number, because the mean of its divisors is an integer number (6736716).

Almost surely, 2146436378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146436378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161681184).

146436378 is an abundant number, since it is smaller than the sum of its proper divisors (176925990).

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

146436378 is a wasteful number, since it uses less digits than its factorization.

146436378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 146436378 is about 12101.0899509094. The cubic root of 146436378 is about 527.0878347862.

The spelling of 146436378 in words is "one hundred forty-six million, four hundred thirty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 401 503 726 802 1006 1203 1509 2406 3018 4411 5533 8822 11066 13233 16599 26466 33198 48521 60863 97042 121726 145563 182589 201703 291126 365178 403406 605109 1210218 2218733 4437466 6656199 13312398 24406063 48812126 73218189 146436378