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34033412240 = 2459713133479
BaseRepresentation
bin11111101100100011…
…001010100010010000
310020211211212110210122
4133230203022202100
51024200023142430
623345034045412
72313244142132
oct375443124220
9106754773718
1034033412240
1113484a79383
126719879868
133294bb4969
14190bdb9052
15d42c9dee5
hex7ec8ca890

34033412240 has 80 divisors (see below), whose sum is σ = 80556094080. Its totient is φ = 13369774080.

The previous prime is 34033412221. The next prime is 34033412263. The reversal of 34033412240 is 4221433043.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999821 + ... + 1033299.

It is an arithmetic number, because the mean of its divisors is an integer number (1006951176).

Almost surely, 234033412240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34033412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40278047040).

34033412240 is an abundant number, since it is smaller than the sum of its proper divisors (46522681840).

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

34033412240 is a wasteful number, since it uses less digits than its factorization.

34033412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33720 (or 33714 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34033412240 its reverse (4221433043), we get a palindrome (38254845283).

The spelling of 34033412240 in words is "thirty-four billion, thirty-three million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 131 194 262 388 485 524 655 776 970 1048 1310 1552 1940 2096 2620 3880 5240 7760 10480 12707 25414 33479 50828 63535 66958 101656 127070 133916 167395 203312 254140 267832 334790 508280 535664 669580 1016560 1339160 2678320 3247463 4385749 6494926 8771498 12989852 16237315 17542996 21928745 25979704 32474630 35085992 43857490 51959408 64949260 70171984 87714980 129898520 175429960 259797040 350859920 425417653 850835306 1701670612 2127088265 3403341224 4254176530 6806682448 8508353060 17016706120 34033412240