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3420311800 = 235269124749
BaseRepresentation
bin1100101111011101…
…1101000011111000
322211100220211201211
43023313131003320
524001044434200
61323221052504
7150521112343
oct31367350370
98740824654
103420311800
1114a5749974
127b5557134
134267b8149
1424637745a
1515041aaba
hexcbddd0f8

3420311800 has 48 divisors (see below), whose sum is σ = 7964055000. Its totient is φ = 1366089600.

The previous prime is 3420311779. The next prime is 3420311813. The reversal of 3420311800 is 81130243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125826 + ... + 150574.

Almost surely, 23420311800 is an apocalyptic number.

It is an amenable number.

3420311800 is an abundant number, since it is smaller than the sum of its proper divisors (4543743200).

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

3420311800 is a wasteful number, since it uses less digits than its factorization.

3420311800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25456 (or 25447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3420311800 is about 58483.4318418473. The cubic root of 3420311800 is about 1506.6830396929.

The spelling of 3420311800 in words is "three billion, four hundred twenty million, three hundred eleven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 691 1382 2764 3455 5528 6910 13820 17275 24749 27640 34550 49498 69100 98996 123745 138200 197992 247490 494980 618725 989960 1237450 2474900 4949800 17101559 34203118 68406236 85507795 136812472 171015590 342031180 427538975 684062360 855077950 1710155900 3420311800