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34142303220 = 22353158731271
BaseRepresentation
bin11111110011000010…
…100011001111110100
310021010102202201010220
4133303002203033310
51024410412200340
623403524014340
72316035534424
oct376302431764
9107112681126
1034142303220
1113530492823
12674a2313b0
1332b161c2ac
14191c642484
15d4c60ced0
hex7f30a33f4

34142303220 has 96 divisors (see below), whose sum is σ = 98853543936. Its totient is φ = 8795625600.

The previous prime is 34142303203. The next prime is 34142303257. The reversal of 34142303220 is 2230324143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076185 + ... + 1107455.

It is an arithmetic number, because the mean of its divisors is an integer number (1029724416).

Almost surely, 234142303220 is an apocalyptic number.

34142303220 is a gapful number since it is divisible by the number (30) 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 34142303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49426771968).

34142303220 is an abundant number, since it is smaller than the sum of its proper divisors (64711240716).

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

34142303220 is a wasteful number, since it uses less digits than its factorization.

34142303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31901 (or 31899 counting only the distinct ones).

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

Adding to 34142303220 its reverse (2230324143), we get a palindrome (36372627363).

The spelling of 34142303220 in words is "thirty-four billion, one hundred forty-two million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 587 620 930 1174 1761 1860 2348 2935 3522 5870 7044 8805 11740 17610 18197 31271 35220 36394 54591 62542 72788 90985 93813 109182 125084 156355 181970 187626 218364 272955 312710 363940 375252 469065 545910 625420 938130 969401 1091820 1876260 1938802 2908203 3877604 4847005 5816406 9694010 11632812 14541015 18356077 19388020 29082030 36712154 55068231 58164060 73424308 91780385 110136462 183560770 220272924 275341155 367121540 550682310 569038387 1101364620 1138076774 1707115161 2276153548 2845191935 3414230322 5690383870 6828460644 8535575805 11380767740 17071151610 34142303220