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23440030400 = 265267218657
BaseRepresentation
bin10101110101001000…
…100111101011000000
32020111120112220211002
4111311020213223000
5341001121433100
614433533111132
71456602654023
oct256510475300
966446486732
1023440030400
119a39316856
1246620284a8
1322972a8097
1411c51131ba
15922c7e2d5
hex575227ac0

23440030400 has 84 divisors (see below), whose sum is σ = 58538245128. Its totient is φ = 9236029440.

The previous prime is 23440030379. The next prime is 23440030421. The reversal of 23440030400 is 403004432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23440030379) and next prime (23440030421).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2129 + ... + 216528.

Almost surely, 223440030400 is an apocalyptic number.

23440030400 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 23440030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29269122564).

23440030400 is an abundant number, since it is smaller than the sum of its proper divisors (35098214728).

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

23440030400 is a wasteful number, since it uses less digits than its factorization.

23440030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218746 (or 218731 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 23440030400 its reverse (403004432), we get a palindrome (23843034832).

The spelling of 23440030400 in words is "twenty-three billion, four hundred forty million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 134 160 200 268 320 335 400 536 670 800 1072 1340 1600 1675 2144 2680 3350 4288 5360 6700 10720 13400 21440 26800 53600 107200 218657 437314 874628 1093285 1749256 2186570 3498512 4373140 5466425 6997024 8746280 10932850 13994048 14650019 17492560 21865700 29300038 34985120 43731400 58600076 69970240 73250095 87462800 117200152 146500190 174925600 234400304 293000380 349851200 366250475 468800608 586000760 732500950 937601216 1172001520 1465001900 2344003040 2930003800 4688006080 5860007600 11720015200 23440030400