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353120344020 = 22355607119701
BaseRepresentation
bin1010010001101111001…
…11001101011111010100
31020202110120020002200000
411020313213031133110
521241142302002040
6430115442251300
734340436254103
oct5106747153724
91222416202600
10353120344020
11126837256a64
125852b356b30
13273b719a532
141313c04403a
1592bae6a130
hex52379cd7d4

353120344020 has 144 divisors (see below), whose sum is σ = 1112642539008. Its totient is φ = 94009507200.

The previous prime is 353120344019. The next prime is 353120344021. The reversal of 353120344020 is 20443021353.

353120344020 is a `hidden beast` number, since 3 + 5 + 312 + 0 + 344 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (353120344019) and next prime (353120344021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353120344021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2890170 + ... + 3009870.

Almost surely, 2353120344020 is an apocalyptic number.

353120344020 is a gapful number since it is divisible by the number (30) 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 353120344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556321269504).

353120344020 is an abundant number, since it is smaller than the sum of its proper divisors (759522194988).

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

353120344020 is a wasteful number, since it uses less digits than its factorization.

353120344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120332 (or 120318 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 353120344020 its reverse (20443021353), we get a palindrome (373563365373).

The spelling of 353120344020 in words is "three hundred fifty-three billion, one hundred twenty million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 607 810 972 1214 1215 1620 1821 2428 2430 3035 3642 4860 5463 6070 7284 9105 10926 12140 16389 18210 21852 27315 32778 36420 49167 54630 65556 81945 98334 109260 119701 147501 163890 196668 239402 245835 295002 327780 359103 478804 491670 590004 598505 718206 737505 983340 1077309 1197010 1436412 1475010 1795515 2154618 2394020 2950020 3231927 3591030 4309236 5386545 6463854 7182060 9695781 10773090 12927708 16159635 19391562 21546180 29087343 32319270 38783124 48478905 58174686 64638540 72658507 96957810 116349372 145317014 145436715 193915620 217975521 290634028 290873430 363292535 435951042 581746860 653926563 726585070 871902084 1089877605 1307853126 1453170140 1961779689 2179755210 2615706252 3269632815 3923559378 4359510420 5885339067 6539265630 7847118756 9808898445 11770678134 13078531260 17656017201 19617796890 23541356268 29426695335 35312034402 39235593780 58853390670 70624068804 88280086005 117706781340 176560172010 353120344020