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148434624 = 26321343461
BaseRepresentation
bin10001101100011…
…10111011000000
3101100022021000200
420312032323000
5300444401444
622421245200
73451450002
oct1066167300
9340267020
10148434624
1176873148
1241863800
13249a1550
14159dc372
15d070969
hex8d8eec0

148434624 has 168 divisors, whose sum is σ = 469861392. Its totient is φ = 44513280.

The previous prime is 148434607. The next prime is 148434641. The reversal of 148434624 is 426434841.

It is an interprime number because it is at equal distance from previous prime (148434607) and next prime (148434641).

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 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 23 ways as a sum of consecutive naturals, for example, 321754 + ... + 322214.

It is an arithmetic number, because the mean of its divisors is an integer number (2796794).

Almost surely, 2148434624 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 148434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234930696).

148434624 is an abundant number, since it is smaller than the sum of its proper divisors (321426768).

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

148434624 is a wasteful number, since it uses less digits than its factorization.

148434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 522 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 148434624 is about 12183.3749018899. The cubic root of 148434624 is about 529.4745284368.

The spelling of 148434624 in words is "one hundred forty-eight million, four hundred thirty-four thousand, six hundred twenty-four".