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149344000 = 285313359
BaseRepresentation
bin10001110011011…
…00111100000000
3101102000110110021
420321230330000
5301213002000
622452543224
73462255151
oct1071547400
9342013407
10149344000
11773343a3
1242021b14
1324c2c440
1415b97928
15d1a011a
hex8e6cf00

149344000 has 144 divisors (see below), whose sum is σ = 401768640. Its totient is φ = 54988800.

The previous prime is 149343989. The next prime is 149344003. The reversal of 149344000 is 443941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149344003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415821 + ... + 416179.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2149344000 is an apocalyptic number.

149344000 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 149344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

149344000 is an abundant number, since it is smaller than the sum of its proper divisors (252424640).

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

149344000 is an equidigital number, since it uses as much as digits as its factorization.

149344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 149344000 is about 12220.6382812028. The cubic root of 149344000 is about 530.5535926797.

Adding to 149344000 its reverse (443941), we get a palindrome (149787941).

The spelling of 149344000 in words is "one hundred forty-nine million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 256 260 320 325 359 400 416 500 520 640 650 718 800 832 1000 1040 1280 1300 1436 1600 1625 1664 1795 2000 2080 2600 2872 3200 3250 3328 3590 4000 4160 4667 5200 5744 6400 6500 7180 8000 8320 8975 9334 10400 11488 13000 14360 16000 16640 17950 18668 20800 22976 23335 26000 28720 32000 35900 37336 41600 44875 45952 46670 52000 57440 71800 74672 83200 89750 91904 93340 104000 114880 116675 143600 149344 179500 186680 208000 229760 233350 287200 298688 359000 373360 416000 459520 466700 574400 583375 597376 718000 746720 933400 1148800 1166750 1194752 1436000 1493440 1866800 2297600 2333500 2872000 2986880 3733600 4667000 5744000 5973760 7467200 9334000 11488000 14934400 18668000 29868800 37336000 74672000 149344000