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34387882074 = 236713259183
BaseRepresentation
bin100000000001101011…
…010111000001011010
310021202112212102000000
4200001223113001122
51030411244211244
623444135353430
72325110113650
oct400153270132
9107675772000
1034387882074
1113647076857
1267b8522876
133320474520
1419430cadd0
15d63e6c169
hex801ad705a

34387882074 has 112 divisors (see below), whose sum is σ = 95184805632. Its totient is φ = 9069296544.

The previous prime is 34387882049. The next prime is 34387882079. The reversal of 34387882074 is 47028878343.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34387882074.

It is not an unprimeable number, because it can be changed into a prime (34387882079) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3087 + ... + 262269.

It is an arithmetic number, because the mean of its divisors is an integer number (849864336).

Almost surely, 234387882074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34387882074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47592402816).

34387882074 is an abundant number, since it is smaller than the sum of its proper divisors (60796923558).

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

34387882074 is a wasteful number, since it uses less digits than its factorization.

34387882074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259223 (or 259208 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 34387882074 in words is "thirty-four billion, three hundred eighty-seven million, eight hundred eighty-two thousand, seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 729 819 1053 1134 1458 1638 1701 2106 2457 3159 3402 4914 5103 6318 7371 9477 10206 14742 18954 22113 44226 66339 132678 259183 518366 777549 1555098 1814281 2332647 3369379 3628562 4665294 5442843 6738758 6997941 10108137 10885686 13995882 16328529 20216274 20993823 23585653 30324411 32657058 41987646 47171306 48985587 60648822 62981469 70756959 90973233 97971174 125962938 141513918 146956761 181946466 188944407 212270877 272919699 293913522 377888814 424541754 440870283 545839398 636812631 818759097 881740566 1273625262 1322610849 1637518194 1910437893 2456277291 2645221698 3820875786 4912554582 5731313679 11462627358 17193941037 34387882074