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34324430100 = 22352373092291
BaseRepresentation
bin11111111101111001…
…010011110100010100
310021121010110201020220
4133331321103310110
51030244023230400
623433551354340
72323406561532
oct377571236424
9107533421226
1034324430100
1113614278404
12679b2229b0
13331028928c
1419388d1152
15d5d5d67a0
hex7fde53d14

34324430100 has 72 divisors (see below), whose sum is σ = 101996159328. Its totient is φ = 8905795200.

The previous prime is 34324430087. The next prime is 34324430117. The reversal of 34324430100 is 103442343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1535046 + ... + 1557245.

It is an arithmetic number, because the mean of its divisors is an integer number (1416613324).

Almost surely, 234324430100 is an apocalyptic number.

34324430100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34324430100 is an abundant number, since it is smaller than the sum of its proper divisors (67671729228).

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

34324430100 is a wasteful number, since it uses less digits than its factorization.

34324430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092345 (or 3092338 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34324430100 its reverse (103442343), we get a palindrome (34427872443).

The spelling of 34324430100 in words is "thirty-four billion, three hundred twenty-four million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 3092291 6184582 9276873 12369164 15461455 18553746 30922910 37107492 46384365 61845820 77307275 92768730 114414767 154614550 185537460 228829534 231921825 309229100 343244301 457659068 463843650 572073835 686488602 927687300 1144147670 1372977204 1716221505 2288295340 2860369175 3432443010 5720738350 6864886020 8581107525 11441476700 17162215050 34324430100