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34323061744 = 2417737921881
BaseRepresentation
bin11111111101110100…
…000101101111110000
310021121000220012020001
4133331310011233300
51030243200433434
623433502155344
72323362132256
oct377564055760
9107530805201
1034323061744
1113613523334
12679a882b54
13330cbca4ba
1419386565d6
15d5d416114
hex7fdd05bf0

34323061744 has 80 divisors (see below), whose sum is σ = 72284123520. Its totient is φ = 15728394240.

The previous prime is 34323061741. The next prime is 34323061757. The reversal of 34323061744 is 44716032343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34323061741) 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, 1557684 + ... + 1579564.

It is an arithmetic number, because the mean of its divisors is an integer number (903551544).

Almost surely, 234323061744 is an apocalyptic number.

34323061744 is a gapful number since it is divisible by the number (34) 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 34323061744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36142061760).

34323061744 is an abundant number, since it is smaller than the sum of its proper divisors (37961061776).

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

34323061744 is a wasteful number, since it uses less digits than its factorization.

34323061744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22058 (or 22052 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 37.

The spelling of 34323061744 in words is "thirty-four billion, three hundred twenty-three million, sixty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 73 79 136 146 158 272 292 316 584 632 1168 1241 1264 1343 2482 2686 4964 5372 5767 9928 10744 11534 19856 21488 21881 23068 43762 46136 87524 92272 98039 175048 196078 350096 371977 392156 743954 784312 1487908 1568624 1597313 1728599 2975816 3194626 3457198 5951632 6389252 6914396 12778504 13828792 25557008 27154321 27657584 29386183 54308642 58772366 108617284 117544732 126187727 217234568 235089464 252375454 434469136 470178928 504750908 1009501816 2019003632 2145191359 4290382718 8580765436 17161530872 34323061744