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32940400000 = 275582351
BaseRepresentation
bin11110101011011001…
…101001110110000000
310011000200011200212211
4132223121221312000
51014430220300000
623044351031504
72244202531414
oct365331516600
9104020150784
1032940400000
1112a73aa7082
12647380b594
13314c60c761
141846b78d44
15ccbd487ba
hex7ab669d80

32940400000 has 96 divisors (see below), whose sum is σ = 82025062560. Its totient is φ = 13176000000.

The previous prime is 32940399991. The next prime is 32940400007. The reversal of 32940400000 is 404923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32940400007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358825 + ... + 441175.

It is an arithmetic number, because the mean of its divisors is an integer number (854427735).

Almost surely, 232940400000 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 32940400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41012531280).

32940400000 is an abundant number, since it is smaller than the sum of its proper divisors (49084662560).

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

32940400000 is an frugal number, since it uses more digits than its factorization.

32940400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82390 (or 82358 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 32940400000 its reverse (404923), we get a palindrome (32940804923).

The spelling of 32940400000 in words is "thirty-two billion, nine hundred forty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 82351 100000 164702 200000 329404 400000 411755 658808 823510 1317616 1647020 2058775 2635232 3294040 4117550 5270464 6588080 8235100 10293875 10540928 13176160 16470200 20587750 26352320 32940400 41175500 51469375 52704640 65880800 82351000 102938750 131761600 164702000 205877500 257346875 263523200 329404000 411755000 514693750 658808000 823510000 1029387500 1317616000 1647020000 2058775000 3294040000 4117550000 6588080000 8235100000 16470200000 32940400000