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34240234112 = 277229188249
BaseRepresentation
bin11111111000111000…
…001000001010000000
310021101021001010001222
4133320320020022000
51030110444442422
623421343014212
72321335121300
oct377070101200
9107337033058
1034240234112
11135807a0747
126776b9a368
1332c89ba076
14192b655600
15d56004842
hex7f8e08280

34240234112 has 96 divisors (see below), whose sum is σ = 82086412500. Its totient is φ = 14168297472.

The previous prime is 34240234097. The next prime is 34240234151. The reversal of 34240234112 is 21143204243.

It can be written as a sum of positive squares in 2 ways, for example, as 30507512896 + 3732721216 = 174664^2 + 61096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87764 + ... + 276012.

Almost surely, 234240234112 is an apocalyptic number.

34240234112 is a gapful number since it is divisible by the number (32) 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 34240234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41043206250).

34240234112 is an abundant number, since it is smaller than the sum of its proper divisors (47846178388).

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

34240234112 is a wasteful number, since it uses less digits than its factorization.

34240234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188306 (or 188287 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34240234112 its reverse (21143204243), we get a palindrome (55383438355).

The spelling of 34240234112 in words is "thirty-four billion, two hundred forty million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 392 406 448 464 784 812 896 928 1421 1568 1624 1856 2842 3136 3248 3712 5684 6272 6496 11368 12992 22736 25984 45472 90944 181888 188249 376498 752996 1317743 1505992 2635486 3011984 5270972 5459221 6023968 9224201 10541944 10918442 12047936 18448402 21083888 21836884 24095872 36896804 38214547 42167776 43673768 73793608 76429094 84335552 87347536 147587216 152858188 168671104 174695072 267501829 295174432 305716376 349390144 535003658 590348864 611432752 698780288 1070007316 1180697728 1222865504 2140014632 2445731008 4280029264 4891462016 8560058528 17120117056 34240234112