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34052332230 = 2335731581197
BaseRepresentation
bin11111101101101011…
…010101101011000110
310020220011110201011000
4133231223111223012
51024214344112410
623350551354130
72313564022350
oct375553255306
9106804421130
1034052332230
1113494721234
126724082946
133298aaa617
1419107020d0
15d44789dc0
hex7edad5ac6

34052332230 has 128 divisors (see below), whose sum is σ = 107126415360. Its totient is φ = 7532300160.

The previous prime is 34052332219. The next prime is 34052332267. The reversal of 34052332230 is 3223325043.

34052332230 is a `hidden beast` number, since 3 + 405 + 2 + 33 + 223 + 0 = 666.

It is a super-2 number, since 2×340523322302 (a number of 22 digits) contains 22 as substring.

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 = 34052332194 and 34052332203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232009 + ... + 349188.

It is an arithmetic number, because the mean of its divisors is an integer number (836925120).

Almost surely, 234052332230 is an apocalyptic number.

34052332230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34052332230 is an abundant number, since it is smaller than the sum of its proper divisors (73074083130).

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

34052332230 is a wasteful number, since it uses less digits than its factorization.

34052332230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581251 (or 581245 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 34052332230 its reverse (3223325043), we get a palindrome (37275657273).

The spelling of 34052332230 in words is "thirty-four billion, fifty-two million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 930 945 1085 1302 1395 1674 1890 1953 2170 2790 3255 3906 4185 5859 6510 8370 9765 11718 19530 29295 58590 581197 1162394 1743591 2905985 3487182 4068379 5230773 5811970 8136758 8717955 10461546 12205137 15692319 17435910 18017107 20341895 24410274 26153865 31384638 36034214 36615411 40683790 52307730 54051321 61025685 73230822 78461595 90085535 108102642 109846233 122051370 126119749 156923190 162153963 180171070 183077055 219692466 252239498 270256605 324307926 366154110 378359247 486461889 540513210 549231165 630598745 756718494 810769815 972923778 1098462330 1135077741 1261197490 1621539630 1891796235 2270155482 2432309445 3405233223 3783592470 4864618890 5675388705 6810466446 11350777410 17026166115 34052332230