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148342400 = 2752151307
BaseRepresentation
bin10001101011110…
…00011010000000
3101100010120111222
420311320122000
5300433424100
622415254212
73450614063
oct1065703200
9340116458
10148342400
117680a928
124181a368
132496b58b
14159b68da
15d053485
hex8d78680

148342400 has 96 divisors (see below), whose sum is σ = 370080480. Its totient is φ = 58752000.

The previous prime is 148342399. The next prime is 148342507. The reversal of 148342400 is 4243841.

It is a self number, because there is not a number n which added to its sum of digits gives 148342400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483047 + ... + 483353.

It is an arithmetic number, because the mean of its divisors is an integer number (3855005).

Almost surely, 2148342400 is an apocalyptic number.

148342400 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 148342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185040240).

148342400 is an abundant number, since it is smaller than the sum of its proper divisors (221738080).

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

148342400 is a wasteful number, since it uses less digits than its factorization.

148342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 148342400 is about 12179.5894840508. The cubic root of 148342400 is about 529.3648496795.

The spelling of 148342400 in words is "one hundred forty-eight million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 151 160 200 302 307 320 400 604 614 640 755 800 1208 1228 1510 1535 1600 2416 2456 3020 3070 3200 3775 4832 4912 6040 6140 7550 7675 9664 9824 12080 12280 15100 15350 19328 19648 24160 24560 30200 30700 39296 46357 48320 49120 60400 61400 92714 96640 98240 120800 122800 185428 196480 231785 241600 245600 370856 463570 483200 491200 741712 927140 982400 1158925 1483424 1854280 2317850 2966848 3708560 4635700 5933696 7417120 9271400 14834240 18542800 29668480 37085600 74171200 148342400