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34010311344 = 2434019911783
BaseRepresentation
bin11111101011001011…
…000010101010110000
310020210020101211022220
4133223023002222300
51024123114430334
623342451001040
72312543606442
oct375313025260
9106706354286
1034010311344
1113472a30329
126711b99180
133290186ca9
141908cc4492
15d40c39449
hex7eb2c2ab0

34010311344 has 80 divisors (see below), whose sum is σ = 88217401344. Its totient is φ = 11290752000.

The previous prime is 34010311331. The next prime is 34010311397. The reversal of 34010311344 is 44311301043.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 19073877 + ... + 19075659.

Almost surely, 234010311344 is an apocalyptic number.

It is an amenable number.

34010311344 is an abundant number, since it is smaller than the sum of its proper divisors (54207090000).

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

34010311344 is a wasteful number, since it uses less digits than its factorization.

34010311344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34010311344 its reverse (44311301043), we get a palindrome (78321612387).

The spelling of 34010311344 in words is "thirty-four billion, ten million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 401 802 991 1203 1604 1783 1982 2406 2973 3208 3566 3964 4812 5349 5946 6416 7132 7928 9624 10698 11892 14264 15856 19248 21396 23784 28528 42792 47568 85584 397391 714983 794782 1192173 1429966 1589564 1766953 2144949 2384346 2859932 3179128 3533906 4289898 4768692 5300859 5719864 6358256 7067812 8579796 9537384 10601718 11439728 14135624 17159592 19074768 21203436 28271248 34319184 42406872 84813744 708548153 1417096306 2125644459 2834192612 4251288918 5668385224 8502577836 11336770448 17005155672 34010311344