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23032340400 = 2435241468137
BaseRepresentation
bin10101011100110101…
…011001111110110000
32012110011102010021110
4111130311121332300
5334132234343100
614325250553320
71443522443316
oct253465317660
965404363243
1023032340400
11984a179273
124569598840
1322309a34b4
141186d0a0b6
158ec09c250
hex55cd59fb0

23032340400 has 120 divisors (see below), whose sum is σ = 75579943824. Its totient is φ = 5992140800.

The previous prime is 23032340399. The next prime is 23032340407. The reversal of 23032340400 is 404323032.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (23032340407) 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, 184869 + ... + 283268.

Almost surely, 223032340400 is an apocalyptic number.

23032340400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23032340400 is an abundant number, since it is smaller than the sum of its proper divisors (52547603424).

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

23032340400 is a wasteful number, since it uses less digits than its factorization.

23032340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468199 (or 468188 counting only the distinct ones).

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

Adding to 23032340400 its reverse (404323032), we get a palindrome (23436663432).

The spelling of 23032340400 in words is "twenty-three billion, thirty-two million, three hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 2050 2460 3075 3280 4100 4920 6150 8200 9840 12300 16400 24600 49200 468137 936274 1404411 1872548 2340685 2808822 3745096 4681370 5617644 7022055 7490192 9362740 11235288 11703425 14044110 18725480 19193617 22470576 23406850 28088220 35110275 37450960 38387234 46813700 56176440 57580851 70220550 76774468 93627400 95968085 112352880 115161702 140441100 153548936 187254800 191936170 230323404 280882200 287904255 307097872 383872340 460646808 479840425 561764400 575808510 767744680 921293616 959680850 1151617020 1439521275 1535489360 1919361700 2303234040 2879042550 3838723400 4606468080 5758085100 7677446800 11516170200 23032340400