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234015342400 = 2652720894227
BaseRepresentation
bin1101100111110001100…
…1101011111101000000
3211101000221011010010201
43121330121223331000
512313230411424100
6255301040534544
722623055406320
oct3317431537500
9741027133121
10234015342400
1190277618424
123942b321454
13190b5548108
14b47d915280
15614985436a
hex367c66bf40

234015342400 has 84 divisors (see below), whose sum is σ = 658084605088. Its totient is φ = 80233827840.

The previous prime is 234015342367. The next prime is 234015342467. The reversal of 234015342400 is 4243510432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 10435914 + ... + 10458313.

Almost surely, 2234015342400 is an apocalyptic number.

234015342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234015342400 is an abundant number, since it is smaller than the sum of its proper divisors (424069262688).

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

234015342400 is a wasteful number, since it uses less digits than its factorization.

234015342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20894256 (or 20894241 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 234015342400 its reverse (4243510432), we get a palindrome (238258852832).

The spelling of 234015342400 in words is "two hundred thirty-four billion, fifteen million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 20894227 41788454 83576908 104471135 146259589 167153816 208942270 292519178 334307632 417884540 522355675 585038356 668615264 731297945 835769080 1044711350 1170076712 1337230528 1462595890 1671538160 2089422700 2340153424 2925191780 3343076320 3656489725 4178845400 4680306848 5850383560 6686152640 7312979450 8357690800 9360613696 11700767120 14625958900 16715381600 23401534240 29251917800 33430763200 46803068480 58503835600 117007671200 234015342400