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230434334400 = 2635248007153
BaseRepresentation
bin1101011010011011110…
…1001110011011000000
3211000210100212001122210
43112212331032123000
512233412142200100
6253505435302120
722435243344624
oct3264675163300
9730710761583
10230434334400
11897aa1a1086
12387abbaa940
131896468767a
14b2200ab184
155eda294c50
hex35a6f4e6c0

230434334400 has 84 divisors (see below), whose sum is σ = 756016661192. Its totient is φ = 61449154560.

The previous prime is 230434334381. The next prime is 230434334419. The reversal of 230434334400 is 4433434032.

It is an interprime number because it is at equal distance from previous prime (230434334381) and next prime (230434334419).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 23998777 + ... + 24008376.

Almost surely, 2230434334400 is an apocalyptic number.

230434334400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230434334400 is an abundant number, since it is smaller than the sum of its proper divisors (525582326792).

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

230434334400 is a wasteful number, since it uses less digits than its factorization.

230434334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48007178 (or 48007163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 230434334400 its reverse (4433434032), we get a palindrome (234867768432).

The spelling of 230434334400 in words is "two hundred thirty billion, four hundred thirty-four million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 48007153 96014306 144021459 192028612 240035765 288042918 384057224 480071530 576085836 720107295 768114448 960143060 1152171672 1200178825 1440214590 1536228896 1920286120 2304343344 2400357650 2880429180 3072457792 3600536475 3840572240 4608686688 4800715300 5760858360 7201072950 7681144480 9217373376 9601430600 11521716720 14402145900 15362288960 19202861200 23043433440 28804291800 38405722400 46086866880 57608583600 76811444800 115217167200 230434334400