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343302022020 = 223583103669283
BaseRepresentation
bin1001111111011100110…
…01010010001110000100
31012211010022022122220110
410333232121102032010
521111040304201040
6421413305433020
733542226016446
oct4775631221604
91184108278813
10343302022020
11122659050361
125664b19b770
13264b1020949
141288a094496
158de3ee7980
hex4fee652384

343302022020 has 96 divisors (see below), whose sum is σ = 982273324032. Its totient is φ = 89565994368.

The previous prime is 343302021971. The next prime is 343302022043. The reversal of 343302022020 is 20220203343.

343302022020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178299 + ... + 847581.

It is an arithmetic number, because the mean of its divisors is an integer number (10232013792).

Almost surely, 2343302022020 is an apocalyptic number.

343302022020 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 343302022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491136662016).

343302022020 is an abundant number, since it is smaller than the sum of its proper divisors (638971302012).

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

343302022020 is a wasteful number, since it uses less digits than its factorization.

343302022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669481 (or 669479 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 343302022020 its reverse (20220203343), we get a palindrome (363522225363).

The spelling of 343302022020 in words is "three hundred forty-three billion, three hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 103 166 206 249 309 332 412 415 498 515 618 830 996 1030 1236 1245 1545 1660 2060 2490 3090 4980 6180 8549 17098 25647 34196 42745 51294 85490 102588 128235 170980 256470 512940 669283 1338566 2007849 2677132 3346415 4015698 6692830 8031396 10039245 13385660 20078490 40156980 55550489 68936149 111100978 137872298 166651467 206808447 222201956 275744596 277752445 333302934 344680745 413616894 555504890 666605868 689361490 827233788 833257335 1034042235 1111009780 1378722980 1666514670 2068084470 3333029340 4136168940 5721700367 11443400734 17165101101 22886801468 28608501835 34330202202 57217003670 68660404404 85825505505 114434007340 171651011010 343302022020