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234032200440 = 23354746190011
BaseRepresentation
bin1101100111110101100…
…1111111101011111000
3211101002002212121000120
43121331121333223320
512313244220403230
6255302442133240
722623351611163
oct3317531775370
9741062777016
10234032200440
1190286092095
1239434ab1220
13190b8b9b39c
14b481c62ada
15614b084310
hex367d67faf8

234032200440 has 128 divisors (see below), whose sum is σ = 718598200320. Its totient is φ = 60947571200.

The previous prime is 234032200411. The next prime is 234032200471. The reversal of 234032200440 is 44002230432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 234032200440.

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, 2555035 + ... + 2645045.

It is an arithmetic number, because the mean of its divisors is an integer number (5614048440).

Almost surely, 2234032200440 is an apocalyptic number.

234032200440 is a gapful number since it is divisible by the number (20) 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 234032200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359299100160).

234032200440 is an abundant number, since it is smaller than the sum of its proper divisors (484565999880).

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

234032200440 is a wasteful number, since it uses less digits than its factorization.

234032200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90533 (or 90529 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 234032200440 its reverse (44002230432), we get a palindrome (278034430872).

The spelling of 234032200440 in words is "two hundred thirty-four billion, thirty-two million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 461 470 564 705 922 940 1128 1383 1410 1844 1880 2305 2766 2820 3688 4610 5532 5640 6915 9220 11064 13830 18440 21667 27660 43334 55320 65001 86668 90011 108335 130002 173336 180022 216670 260004 270033 325005 360044 433340 450055 520008 540066 650010 720088 866680 900110 1080132 1300020 1350165 1800220 2160264 2600040 2700330 3600440 4230517 5400660 8461034 10801320 12691551 16922068 21152585 25383102 33844136 41495071 42305170 50766204 63457755 82990142 84610340 101532408 124485213 126915510 165980284 169220680 207475355 248970426 253831020 331960568 414950710 497940852 507662040 622426065 829901420 995881704 1244852130 1659802840 1950268337 2489704260 3900536674 4979408520 5850805011 7801073348 9751341685 11701610022 15602146696 19502683370 23403220044 29254025055 39005366740 46806440088 58508050110 78010733480 117016100220 234032200440