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240601003400 = 235217571112391
BaseRepresentation
bin1110000000010011101…
…1111111010110001000
3212000000220020100200002
43200010323333112020
512420222324102100
6302310334302132
723245213533212
oct3400473772610
9760026210602
10240601003400
1193046aa2a6a
123a768957948
13198c4a5bc44
14b9064175b2
1563d2ac62d5
hex3804eff588

240601003400 has 96 divisors (see below), whose sum is σ = 592454580480. Its totient is φ = 90556032000.

The previous prime is 240601003381. The next prime is 240601003427. The reversal of 240601003400 is 4300106042.

It is a happy number.

240601003400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19411205 + ... + 19423595.

It is an arithmetic number, because the mean of its divisors is an integer number (6171401880).

Almost surely, 2240601003400 is an apocalyptic number.

240601003400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240601003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296227290240).

240601003400 is an abundant number, since it is smaller than the sum of its proper divisors (351853577080).

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

240601003400 is a wasteful number, since it uses less digits than its factorization.

240601003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18135 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 240601003400 its reverse (4300106042), we get a palindrome (244901109442).

The spelling of 240601003400 in words is "two hundred forty billion, six hundred one million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 5711 11422 12391 22844 24782 28555 45688 49564 57110 61955 97087 99128 114220 123910 142775 194174 210647 228440 247820 285550 309775 388348 421294 485435 495640 571100 619550 776696 842588 970870 1053235 1142200 1239100 1685176 1941740 2106470 2427175 2478200 3883480 4212940 4854350 5266175 8425880 9708700 10532350 19417400 21064700 42129400 70765001 141530002 283060004 353825005 566120008 707650010 1203005017 1415300020 1769125025 2406010034 2830600040 3538250050 4812020068 6015025085 7076500100 9624040136 12030050170 14153000200 24060100340 30075125425 48120200680 60150250850 120300501700 240601003400