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34678022640 = 2435331436531
BaseRepresentation
bin100000010010111110…
…001010000111110000
310022111202211002000220
4200102332022013300
51032010033211030
623533022213040
72335232220552
oct402276120760
9108452732026
1034678022640
1113785926748
126879724180
1333685cc731
14196d8554d2
15d7e67ea10
hex812f8a1f0

34678022640 has 80 divisors (see below), whose sum is σ = 107826896256. Its totient is φ = 9219513600.

The previous prime is 34678022633. The next prime is 34678022647. The reversal of 34678022640 is 4622087643.

It is an interprime number because it is at equal distance from previous prime (34678022633) and next prime (34678022647).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34678022592 and 34678022601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34678022647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138826 + ... + 297705.

Almost surely, 234678022640 is an apocalyptic number.

34678022640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34678022640 is an abundant number, since it is smaller than the sum of its proper divisors (73148873616).

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

34678022640 is a wasteful number, since it uses less digits than its factorization.

34678022640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436878 (or 436872 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 34678022640 in words is "thirty-four billion, six hundred seventy-eight million, twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 13240 15888 19860 26480 39720 79440 436531 873062 1309593 1746124 2182655 2619186 3492248 4365310 5238372 6547965 6984496 8730620 10476744 13095930 17461240 20953488 26191860 34922480 52383720 104767440 144491761 288983522 433475283 577967044 722458805 866950566 1155934088 1444917610 1733901132 2167376415 2311868176 2889835220 3467802264 4334752830 5779670440 6935604528 8669505660 11559340880 17339011320 34678022640