Search a number
-
+
34202453040 = 2433572262067
BaseRepresentation
bin11111110110101000…
…000000010000110000
310021021121221122012000
4133312220000100300
51030021311444130
623413513134000
72320366024350
oct376650002060
9107247848160
1034202453040
1113561436218
1267663ba300
1332c0c1c4c2
14192661cb60
15d52a40260
hex7f6a00430

34202453040 has 160 divisors (see below), whose sum is σ = 134638287360. Its totient is φ = 7817700096.

The previous prime is 34202453039. The next prime is 34202453081. The reversal of 34202453040 is 4035420243.

34202453040 is a `hidden beast` number, since 3 + 4 + 202 + 453 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34202452995 and 34202453013.

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, 1115914 + ... + 1146153.

It is an arithmetic number, because the mean of its divisors is an integer number (841489296).

Almost surely, 234202453040 is an apocalyptic number.

34202453040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34202453040 is an abundant number, since it is smaller than the sum of its proper divisors (100435834320).

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

34202453040 is a wasteful number, since it uses less digits than its factorization.

34202453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262096 (or 2262084 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 34202453040 its reverse (4035420243), we get a palindrome (38237873283).

The spelling of 34202453040 in words is "thirty-four billion, two hundred two million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 2262067 4524134 6786201 9048268 11310335 13572402 15834469 18096536 20358603 22620670 27144804 31668938 33931005 36193072 40717206 45241340 47503407 54289608 61075809 63337876 67862010 79172345 81434412 90482680 95006814 101793015 108579216 122151618 126675752 135724020 142510221 158344690 162868824 180965360 190013628 203586030 237517035 244303236 253351504 271448040 285020442 305379045 316689380 325737648 380027256 407172060 427530663 475034070 488606472 542896080 570040884 610758090 633378760 712551105 760054512 814344120 855061326 950068140 977212944 1140081768 1221516180 1266757520 1425102210 1628688240 1710122652 1900136280 2137653315 2280163536 2443032360 2850204420 3420245304 3800272560 4275306630 4886064720 5700408840 6840490608 8550613260 11400817680 17101226520 34202453040