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34001746780 = 22519691129491
BaseRepresentation
bin11111101010101010…
…010111101101011100
310020202122021200221211
4133222222113231130
51024113421344110
623341543234204
72312411036041
oct375252275534
9106678250854
1034001746780
1113469110681
12670b148964
13328b4788c1
141907ad51c8
15d400e698a
hex7eaa97b5c

34001746780 has 48 divisors (see below), whose sum is σ = 75271109760. Its totient is φ = 12866126400.

The previous prime is 34001746763. The next prime is 34001746813. The reversal of 34001746780 is 8764710043.

It is a super-2 number, since 2×340017467802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 197835 + ... + 327325.

It is an arithmetic number, because the mean of its divisors is an integer number (1568148120).

Almost surely, 234001746780 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 34001746780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37635554880).

34001746780 is an abundant number, since it is smaller than the sum of its proper divisors (41269362980).

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

34001746780 is a wasteful number, since it uses less digits than its factorization.

34001746780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130210 (or 130208 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 34001746780 in words is "thirty-four billion, one million, seven hundred forty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 691 1382 2764 3455 6910 13129 13820 26258 52516 65645 129491 131290 258982 262580 517964 647455 1294910 2460329 2589820 4920658 9841316 12301645 24603290 49206580 89478281 178956562 357913124 447391405 894782810 1700087339 1789565620 3400174678 6800349356 8500436695 17000873390 34001746780