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34213434112 = 2811138910501
BaseRepresentation
bin11111110111010001…
…111001001100000000
310021022101121112101101
4133313101321030000
51030032114342422
623414544344144
72320561251214
oct376721711400
9107271545341
1034213434112
1113567656490
12676a015054
1332c3295790
141927c7a944
15d539adc27
hex7f7479300

34213434112 has 144 divisors (see below), whose sum is σ = 81141812640. Its totient is φ = 14192640000.

The previous prime is 34213434107. The next prime is 34213434127. The reversal of 34213434112 is 21143431243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3252862 + ... + 3263362.

It is an arithmetic number, because the mean of its divisors is an integer number (563484810).

Almost surely, 234213434112 is an apocalyptic number.

34213434112 is a gapful number since it is divisible by the number (32) 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 34213434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40570906320).

34213434112 is an abundant number, since it is smaller than the sum of its proper divisors (46928378528).

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

34213434112 is a wasteful number, since it uses less digits than its factorization.

34213434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10630 (or 10616 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 34213434112 its reverse (21143431243), we get a palindrome (55356865355).

The spelling of 34213434112 in words is "thirty-four billion, two hundred thirteen million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 89 104 128 143 176 178 208 256 286 352 356 416 572 704 712 832 979 1144 1157 1408 1424 1664 1958 2288 2314 2816 2848 3328 3916 4576 4628 5696 7832 9152 9256 10501 11392 12727 15664 18304 18512 21002 22784 25454 31328 36608 37024 42004 50908 62656 74048 84008 101816 115511 125312 136513 148096 168016 203632 231022 250624 273026 296192 336032 407264 462044 546052 672064 814528 924088 934589 1092104 1344128 1501643 1629056 1848176 1869178 2184208 2688256 3003286 3258112 3696352 3738356 4368416 6006572 7392704 7476712 8736832 10280479 12013144 12149657 14785408 14953424 17473664 20560958 24026288 24299314 29570816 29906848 34947328 41121916 48052576 48598628 59813696 82243832 96105152 97197256 119627392 133646227 164487664 192210304 194394512 239254784 267292454 328975328 384420608 388789024 534584908 657950656 777578048 1069169816 1315901312 1555156096 2138339632 2631802624 3110312192 4276679264 8553358528 17106717056 34213434112