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148363344 = 24321013
BaseRepresentation
bin10001101011111…
…01100001010000
3101100011122020200
420311331201100
5300440111334
622415535200
73451032123
oct1065754120
9340148220
10148363344
1176824638
124182a500
1324977c7c
14159c03ba
15d059799
hex8d7d850

148363344 has 60 divisors (see below), whose sum is σ = 419363412. Its totient is φ = 48964800.

The previous prime is 148363337. The next prime is 148363351. The reversal of 148363344 is 443363841.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

148363344 is a `hidden beast` number, since 14 + 8 + 3 + 633 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (148363337) and next prime (148363351).

It can be written as a sum of positive squares in 2 ways, for example, as 135489600 + 12873744 = 11640^2 + 3588^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 148363299 and 148363308.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1468894 + ... + 1468994.

Almost surely, 2148363344 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 148363344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209681706).

148363344 is an abundant number, since it is smaller than the sum of its proper divisors (271000068).

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

148363344 is an frugal number, since it uses more digits than its factorization.

148363344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 106 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 148363344 is about 12180.4492527985. The cubic root of 148363344 is about 529.3897616302.

The spelling of 148363344 in words is "one hundred forty-eight million, three hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 10201 14544 20402 30603 40804 61206 81608 91809 122412 163216 183618 244824 367236 489648 734472 1030301 1468944 2060602 3090903 4121204 6181806 8242408 9272709 12363612 16484816 18545418 24727224 37090836 49454448 74181672 148363344