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134448240 = 243517311063
BaseRepresentation
bin10000000001110…
…00010001110000
3100100222200022110
420000320101300
5233404320430
621201405320
73221535243
oct1000702160
9310880273
10134448240
116998aa53
1239039840
1321b15394
1413bdb25a
15bc0b7b0
hex8038470

134448240 has 160 divisors (see below), whose sum is σ = 455970816. Its totient is φ = 32624640.

The previous prime is 134448221. The next prime is 134448253. The reversal of 134448240 is 42844431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134448198 and 134448207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125949 + ... + 127011.

Almost surely, 2134448240 is an apocalyptic number.

134448240 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 134448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

134448240 is an abundant number, since it is smaller than the sum of its proper divisors (321522576).

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

134448240 is a wasteful number, since it uses less digits than its factorization.

134448240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 134448240 is about 11595.1817579545. The cubic root of 134448240 is about 512.2929435242.

The spelling of 134448240 in words is "one hundred thirty-four million, four hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 80 85 93 102 120 124 136 155 170 186 204 240 248 255 272 310 340 372 408 465 496 510 527 620 680 744 816 930 1020 1054 1063 1240 1360 1488 1581 1860 2040 2108 2126 2480 2635 3162 3189 3720 4080 4216 4252 5270 5315 6324 6378 7440 7905 8432 8504 10540 10630 12648 12756 15810 15945 17008 18071 21080 21260 25296 25512 31620 31890 32953 36142 42160 42520 51024 54213 63240 63780 65906 72284 85040 90355 98859 108426 126480 127560 131812 144568 164765 180710 197718 216852 255120 263624 271065 289136 329530 361420 395436 433704 494295 527248 542130 560201 659060 722840 790872 867408 988590 1084260 1120402 1318120 1445680 1581744 1680603 1977180 2168520 2240804 2636240 2801005 3361206 3954360 4337040 4481608 5602010 6722412 7908720 8403015 8963216 11204020 13444824 16806030 22408040 26889648 33612060 44816080 67224120 134448240