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134234040 = 233517292269
BaseRepresentation
bin10000000000000…
…11111110111000
3100100120210111010
420000003332320
5233330442130
621153033520
73216653613
oct1000037670
9310523433
10134234040
1169854026
1238b558a0
1321a6ba35
1413b8317a
15bbb80b0
hex8003fb8

134234040 has 128 divisors (see below), whose sum is σ = 441288000. Its totient is φ = 32514048.

The previous prime is 134233973. The next prime is 134234053. The reversal of 134234040 is 40432431.

It is a junction number, because it is equal to n+sod(n) for n = 134233998 and 134234016.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 58026 + ... + 60294.

Almost surely, 2134234040 is an apocalyptic number.

134234040 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 134234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220644000).

134234040 is an abundant number, since it is smaller than the sum of its proper divisors (307053960).

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

134234040 is a wasteful number, since it uses less digits than its factorization.

134234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 134234040 is about 11585.9414809501. The cubic root of 134234040 is about 512.0207409404.

Adding to 134234040 its reverse (40432431), we get a palindrome (174666471).

The spelling of 134234040 in words is "one hundred thirty-four million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 51 58 60 68 85 87 102 116 120 136 145 170 174 204 232 255 290 340 348 408 435 493 510 580 680 696 870 986 1020 1160 1479 1740 1972 2040 2269 2465 2958 3480 3944 4538 4930 5916 6807 7395 9076 9860 11345 11832 13614 14790 18152 19720 22690 27228 29580 34035 38573 45380 54456 59160 65801 68070 77146 90760 115719 131602 136140 154292 192865 197403 231438 263204 272280 308584 329005 385730 394806 462876 526408 578595 658010 771460 789612 925752 987015 1118617 1157190 1316020 1542920 1579224 1974030 2237234 2314380 2632040 3355851 3948060 4474468 4628760 5593085 6711702 7896120 8948936 11186170 13423404 16779255 22372340 26846808 33558510 44744680 67117020 134234040