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34342002040 = 2356121791289
BaseRepresentation
bin11111111110111100…
…010101110101111000
310021122100112110102111
4133332330111311320
51030313023031130
623435420142104
72324012125633
oct377674256570
9107570473374
1034342002040
111362318a475
1267a5097934
133313acc488
14193ad86c1a
15d5ee0802a
hex7fef15d78

34342002040 has 96 divisors (see below), whose sum is σ = 79057134000. Its totient is φ = 13425699840.

The previous prime is 34342002031. The next prime is 34342002041. The reversal of 34342002040 is 4020024343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342002041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26641716 + ... + 26643004.

Almost surely, 234342002040 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 34342002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39528567000).

34342002040 is an abundant number, since it is smaller than the sum of its proper divisors (44715131960).

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

34342002040 is a wasteful number, since it uses less digits than its factorization.

34342002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 34342002040 its reverse (4020024343), we get a palindrome (38362026383).

The spelling of 34342002040 in words is "thirty-four billion, three hundred forty-two million, two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 179 244 305 358 488 610 716 895 1220 1289 1432 1790 2440 2578 3580 3721 5156 6445 7160 7442 10312 10919 12890 14884 18605 21838 25780 29768 37210 43676 51560 54595 74420 78629 87352 109190 148840 157258 218380 230731 314516 393145 436760 461462 629032 666059 786290 922924 1153655 1332118 1572580 1845848 2307310 2664236 3145160 3330295 4614620 4796369 5328472 6660590 9229240 9592738 13321180 14074591 19185476 23981845 26642360 28149182 38370952 47963690 56298364 70372955 95927380 112596728 140745910 191854760 281491820 562983640 858550051 1717100102 3434200204 4292750255 6868400408 8585500510 17171001020 34342002040