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334020500160 = 26351387725073
BaseRepresentation
bin1001101110001010010…
…11000101101011000000
31011221011110111111111120
410313011023011223000
520433033222001120
6413240310312240
733063224256114
oct4670513055300
91157143444446
10334020500160
11119725956636
125489a958680
1325662142389
1412249519744
158a4e25c140
hex4dc52c5ac0

334020500160 has 112 divisors (see below), whose sum is σ = 1060633810656. Its totient is φ = 89062162432.

The previous prime is 334020500081. The next prime is 334020500161. The reversal of 334020500160 is 61005020433.

It is a happy number.

It is a super-2 number, since 2×3340205001602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 334020500160.

It is not an unprimeable number, because it can be changed into a prime (334020500161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13309384 + ... + 13334456.

It is an arithmetic number, because the mean of its divisors is an integer number (9469944738).

Almost surely, 2334020500160 is an apocalyptic number.

334020500160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334020500160 is an abundant number, since it is smaller than the sum of its proper divisors (726613310496).

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

334020500160 is a wasteful number, since it uses less digits than its factorization.

334020500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38970 (or 38960 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 334020500160 its reverse (61005020433), we get a palindrome (395025520593).

The spelling of 334020500160 in words is "three hundred thirty-four billion, twenty million, five hundred thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 13877 25073 27754 41631 50146 55508 69385 75219 83262 100292 111016 125365 138770 150438 166524 200584 208155 222032 250730 277540 300876 333048 376095 401168 416310 444064 501460 555080 601752 666096 752190 802336 832620 888128 1002920 1110160 1203504 1332192 1504380 1604672 1665240 2005840 2220320 2407008 2664384 3008760 3330480 4011680 4440640 4814016 6017520 6660960 8023360 12035040 13321920 24070080 347938021 695876042 1043814063 1391752084 1739690105 2087628126 2783504168 3479380210 4175256252 5219070315 5567008336 6958760420 8350512504 10438140630 11134016672 13917520840 16701025008 20876281260 22268033344 27835041680 33402050016 41752562520 55670083360 66804100032 83505125040 111340166720 167010250080 334020500160