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34454320000 = 27542914851
BaseRepresentation
bin100000000101101000…
…110011001110000000
310021221011212210200221
4200011220303032000
51031030301220000
623454511352424
72326544613352
oct400550631600
9107834783627
1034454320000
1113680624631
126816822714
1333311668c9
14194bc630d2
15d69be261a
hex805a33380

34454320000 has 160 divisors (see below), whose sum is σ = 88735501800. Its totient is φ = 13305600000.

The previous prime is 34454319989. The next prime is 34454320001. The reversal of 34454320000 is 2345443.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34454320001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2312575 + ... + 2327425.

Almost surely, 234454320000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34454320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44367750900).

34454320000 is an abundant number, since it is smaller than the sum of its proper divisors (54281181800).

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

34454320000 is an equidigital number, since it uses as much as digits as its factorization.

34454320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14914 (or 14887 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 34454320000 its reverse (2345443), we get a palindrome (34456665443).

The spelling of 34454320000 in words is "thirty-four billion, four hundred fifty-four million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 290 320 400 464 500 580 625 640 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3200 3625 3712 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 14851 16000 18125 18560 20000 23200 29000 29702 36250 40000 46400 58000 59404 72500 74255 80000 92800 116000 118808 145000 148510 232000 237616 290000 297020 371275 430679 464000 475232 580000 594040 742550 861358 950464 1160000 1188080 1485100 1722716 1856375 1900928 2153395 2320000 2376160 2970200 3445432 3712750 4306790 4752320 5940400 6890864 7425500 8613580 9281875 9504640 10766975 11880800 13781728 14851000 17227160 18563750 21533950 23761600 27563456 29702000 34454320 37127500 43067900 47523200 53834875 55126912 59404000 68908640 74255000 86135800 107669750 118808000 137817280 148510000 172271600 215339500 237616000 269174375 275634560 297020000 344543200 430679000 538348750 594040000 689086400 861358000 1076697500 1188080000 1378172800 1722716000 2153395000 3445432000 4306790000 6890864000 8613580000 17227160000 34454320000