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343211003242040 = 235291491985715131
BaseRepresentation
bin100111000001001100000100…
…1111011100110011000111000
31200000012122120220222011121002
41032002120021323212120320
5324441132113312221130
63213540542551504132
7132202114416002603
oct11602301173463070
91600178526864532
10343211003242040
119a3a2a7292402a
12325b0712688048
131196787430c83b
1460a77033a133a
1529a2a8c223b45
hex1382609ee6638

343211003242040 has 64 divisors (see below), whose sum is σ = 804214628460000. Its totient is φ = 131660855979520.

The previous prime is 343211003242031. The next prime is 343211003242043. The reversal of 343211003242040 is 40242300112343.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 343211003241994 and 343211003242012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343211003242043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992684726 + ... + 993030405.

Almost surely, 2343211003242040 is an apocalyptic number.

It is an amenable number.

343211003242040 is an abundant number, since it is smaller than the sum of its proper divisors (461003625217960).

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

343211003242040 is a wasteful number, since it uses less digits than its factorization.

343211003242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985715320 (or 1985715316 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 343211003242040 its reverse (40242300112343), we get a palindrome (383453303354383).

The spelling of 343211003242040 in words is "three hundred forty-three trillion, two hundred eleven billion, three million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 149 232 290 298 580 596 745 1160 1192 1490 2980 4321 5960 8642 17284 21605 34568 43210 86420 172840 1985715131 3971430262 7942860524 9928575655 15885721048 19857151310 39714302620 57585738799 79428605240 115171477598 230342955196 287928693995 295871554519 460685910392 575857387990 591743109038 1151714775980 1183486218076 1479357772595 2303429551960 2366972436152 2958715545190 5917431090380 8580275081051 11834862180760 17160550162102 34321100324204 42901375405255 68642200648408 85802750810510 171605501621020 343211003242040