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344530204000 = 2553400321517
BaseRepresentation
bin1010000001101111001…
…10011011010101100000
31012221021220100202211221
411000313212123111200
521121044213012000
6422135221544424
733614531262103
oct5006746332540
91187256322757
10344530204000
11123129355694
1256932575114
1326648601748
141296523c73a
158e66c4d61a
hex503799b560

344530204000 has 96 divisors (see below), whose sum is σ = 846761531616. Its totient is φ = 137771251200.

The previous prime is 344530203977. The next prime is 344530204079. The reversal of 344530204000 is 402035443.

It is a super-2 number, since 2×3445302040002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 16001242 + ... + 16022758.

It is an arithmetic number, because the mean of its divisors is an integer number (8820432621).

Almost surely, 2344530204000 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 344530204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423380765808).

344530204000 is an abundant number, since it is smaller than the sum of its proper divisors (502231327616).

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

344530204000 is a wasteful number, since it uses less digits than its factorization.

344530204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25545 (or 25527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 344530204000 its reverse (402035443), we get a palindrome (344932239443).

The spelling of 344530204000 in words is "three hundred forty-four billion, five hundred thirty million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4003 8006 16012 20015 21517 32024 40030 43034 64048 80060 86068 100075 107585 128096 160120 172136 200150 215170 320240 344272 400300 430340 500375 537925 640480 688544 800600 860680 1000750 1075850 1601200 1721360 2001500 2151700 2689625 3202400 3442720 4003000 4303400 5379250 8006000 8606800 10758500 16012000 17213600 21517000 43034000 86068000 86132551 172265102 344530204 430662755 689060408 861325510 1378120816 1722651020 2153313775 2756241632 3445302040 4306627550 6890604080 8613255100 10766568875 13781208160 17226510200 21533137750 34453020400 43066275500 68906040800 86132551000 172265102000 344530204000