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334342111200 = 25352139309213
BaseRepresentation
bin1001101110110000101…
…01111011111111100000
31011221222212200000220120
410313120111323333200
520434213040024300
6413332235440240
733104211024456
oct4673025737740
91157885600816
10334342111200
11119880450789
125496a5b6080
13256b3968976
141227a1169d6
158a6c5d93a0
hex4dd857bfe0

334342111200 has 72 divisors (see below), whose sum is σ = 1088283579768. Its totient is φ = 89157895680.

The previous prime is 334342111189. The next prime is 334342111241. The reversal of 334342111200 is 2111243433.

It is a happy number.

It is a super-2 number, since 2×3343421112002 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69652207 + ... + 69657006.

It is an arithmetic number, because the mean of its divisors is an integer number (15115049719).

Almost surely, 2334342111200 is an apocalyptic number.

334342111200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334342111200 is an abundant number, since it is smaller than the sum of its proper divisors (753941468568).

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

334342111200 is a wasteful number, since it uses less digits than its factorization.

334342111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139309236 (or 139309223 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 334342111200 its reverse (2111243433), we get a palindrome (336453354633).

The spelling of 334342111200 in words is "three hundred thirty-four billion, three hundred forty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 139309213 278618426 417927639 557236852 696546065 835855278 1114473704 1393092130 1671710556 2089638195 2228947408 2786184260 3343421112 3482730325 4179276390 4457894816 5572368520 6686842224 6965460650 8358552780 10448190975 11144737040 13373684448 13930921300 16717105560 20896381950 22289474080 27861842600 33434211120 41792763900 55723685200 66868422240 83585527800 111447370400 167171055600 334342111200