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34492318770 = 23571379159931
BaseRepresentation
bin100000000111111001…
…110000010000110010
310022000211101100012210
4200013321300100302
51031120013200040
623502350032550
72330515605060
oct400771602062
9108024340183
1034492318770
11136a0018678
1268274a8756
133338cac5a0
141952d15030
15d6d1eb480
hex807e70432

34492318770 has 128 divisors (see below), whose sum is σ = 103175331840. Its totient is φ = 7185335040.

The previous prime is 34492318753. The next prime is 34492318771. The reversal of 34492318770 is 7781329443.

It is not an unprimeable number, because it can be changed into a prime (34492318771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135705 + ... + 295635.

It is an arithmetic number, because the mean of its divisors is an integer number (806057280).

Almost surely, 234492318770 is an apocalyptic number.

34492318770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34492318770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51587665920).

34492318770 is an abundant number, since it is smaller than the sum of its proper divisors (68683013070).

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

34492318770 is a wasteful number, since it uses less digits than its factorization.

34492318770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160040.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 34492318770 in words is "thirty-four billion, four hundred ninety-two million, three hundred eighteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 79 91 105 130 158 182 195 210 237 273 390 395 455 474 546 553 790 910 1027 1106 1185 1365 1659 2054 2370 2730 2765 3081 3318 5135 5530 6162 7189 8295 10270 14378 15405 16590 21567 30810 35945 43134 71890 107835 159931 215670 319862 479793 799655 959586 1119517 1599310 2079103 2239034 2398965 3358551 4158206 4797930 5597585 6237309 6717102 10395515 11195170 12474618 12634549 14553721 16792755 20791030 25269098 29107442 31186545 33585510 37903647 43661163 62373090 63172745 72768605 75807294 87322326 88441843 126345490 145537210 164249137 176883686 189518235 218305815 265325529 328498274 379036470 436611630 442209215 492747411 530651058 821245685 884418430 985494822 1149743959 1326627645 1642491370 2299487918 2463737055 2653255290 3449231877 4927474110 5748719795 6898463754 11497439590 17246159385 34492318770