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34501140 = 2235531229
BaseRepresentation
bin1000001110011…
…1001000010100
32101220211200000
42003213020110
532313014030
63231251300
7566153262
oct203471024
971824600
1034501140
1118525243
12b679b30
1371bc99b
144821432
153067860
hex20e7214

34501140 has 144 divisors (see below), whose sum is σ = 112519680. Its totient is φ = 8864640.

The previous prime is 34501139. The next prime is 34501147. The reversal of 34501140 is 4110543.

It is a happy number.

It is a super-2 number, since 2×345011402 = 2380657322599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34501147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150546 + ... + 150774.

Almost surely, 234501140 is an apocalyptic number.

34501140 is a gapful number since it is divisible by the number (30) 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 34501140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56259840).

34501140 is an abundant number, since it is smaller than the sum of its proper divisors (78018540).

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

34501140 is a wasteful number, since it uses less digits than its factorization.

34501140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34501140 is about 5873.7671046782. The cubic root of 34501140 is about 325.5450892114.

Adding to 34501140 its reverse (4110543), we get a palindrome (38611683).

The spelling of 34501140 in words is "thirty-four million, five hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 229 243 270 279 310 324 372 405 458 465 486 540 558 620 687 810 837 916 930 972 1116 1145 1215 1374 1395 1620 1674 1860 2061 2290 2430 2511 2748 2790 3348 3435 4122 4185 4580 4860 5022 5580 6183 6870 7099 7533 8244 8370 10044 10305 12366 12555 13740 14198 15066 16740 18549 20610 21297 24732 25110 28396 30132 30915 35495 37098 37665 41220 42594 50220 55647 61830 63891 70990 74196 75330 85188 92745 106485 111294 123660 127782 141980 150660 185490 191673 212970 222588 255564 278235 319455 370980 383346 425940 556470 575019 638910 766692 958365 1112940 1150038 1277820 1725057 1916730 2300076 2875095 3450114 3833460 5750190 6900228 8625285 11500380 17250570 34501140