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148400340 = 2235113759103
BaseRepresentation
bin10001101100001…
…10100011010100
3101100020111222220
420312012203110
5300442302330
622420422340
73451245024
oct1066064324
9340214886
10148400340
117684a410
12418479b0
132498ba6a
14159cda84
15d065710
hex8d868d4

148400340 has 192 divisors, whose sum is σ = 478033920. Its totient is φ = 34076160.

The previous prime is 148400311. The next prime is 148400359. The reversal of 148400340 is 43004841.

148400340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 148400340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1440729 + ... + 1440831.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2148400340 is an apocalyptic number.

148400340 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 148400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960).

148400340 is an abundant number, since it is smaller than the sum of its proper divisors (329633580).

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

148400340 is a wasteful number, since it uses less digits than its factorization.

148400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 148400340 is about 12181.9678213333. The cubic root of 148400340 is about 529.4337609888.

The spelling of 148400340 in words is "one hundred forty-eight million, four hundred thousand, three hundred forty".