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20341433400 = 23352239141851
BaseRepresentation
bin10010111100011100…
…011010010000111000
31221111121222212211020
4102330130122100320
5313124401332100
613202243302440
71320036221361
oct227434322070
957447885736
1020341433400
118699232a92
123b3837aa20
131bc2351832
14dad7a2b68
157e0c115a0
hex4bc71a438

20341433400 has 96 divisors (see below), whose sum is σ = 63322732800. Its totient is φ = 5401648000.

The previous prime is 20341433389. The next prime is 20341433407. The reversal of 20341433400 is 433414302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20341433407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72475 + ... + 214325.

It is an arithmetic number, because the mean of its divisors is an integer number (659611800).

Almost surely, 220341433400 is an apocalyptic number.

20341433400 is a gapful number since it is divisible by the number (20) 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 20341433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31661366400).

20341433400 is an abundant number, since it is smaller than the sum of its proper divisors (42981299400).

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

20341433400 is a wasteful number, since it uses less digits than its factorization.

20341433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142109 (or 142100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20341433400 its reverse (433414302), we get a palindrome (20774847702).

The spelling of 20341433400 in words is "twenty billion, three hundred forty-one million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 239 300 478 600 717 956 1195 1434 1912 2390 2868 3585 4780 5736 5975 7170 9560 11950 14340 17925 23900 28680 35850 47800 71700 141851 143400 283702 425553 567404 709255 851106 1134808 1418510 1702212 2127765 2837020 3404424 3546275 4255530 5674040 7092550 8511060 10638825 14185100 17022120 21277650 28370200 33902389 42555300 67804778 85110600 101707167 135609556 169511945 203414334 271219112 339023890 406828668 508535835 678047780 813657336 847559725 1017071670 1356095560 1695119450 2034143340 2542679175 3390238900 4068286680 5085358350 6780477800 10170716700 20341433400