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34361839248 = 24311109159651
BaseRepresentation
bin100000000000001000…
…000000111010010000
310021200201212021221220
4200000020000322100
51030333112323443
623441405245040
72324342546232
oct400010007220
9107621767856
1034361839248
11136333a9460
1267ab863780
133317c56779
14193d86c252
15d61a25a83
hex800200e90

34361839248 has 80 divisors (see below), whose sum is σ = 96928296192. Its totient is φ = 10402960000.

The previous prime is 34361839247. The next prime is 34361839277. The reversal of 34361839248 is 84293816343.

It is a self number, because there is not a number n which added to its sum of digits gives 34361839248.

It is not an unprimeable number, because it can be changed into a prime (34361839243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546223 + ... + 605873.

Almost surely, 234361839248 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 34361839248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48464148096).

34361839248 is an abundant number, since it is smaller than the sum of its proper divisors (62566456944).

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

34361839248 is a wasteful number, since it uses less digits than its factorization.

34361839248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60764 (or 60758 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The spelling of 34361839248 in words is "thirty-four billion, three hundred sixty-one million, eight hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1091 2182 3273 4364 6546 8728 12001 13092 17456 24002 26184 36003 48004 52368 59651 72006 96008 119302 144012 178953 192016 238604 288024 357906 477208 576048 656161 715812 954416 1312322 1431624 1968483 2624644 2863248 3936966 5249288 7873932 10498576 15747864 31495728 65079241 130158482 195237723 260316964 390475446 520633928 715871651 780950892 1041267856 1431743302 1561901784 2147614953 2863486604 3123803568 4295229906 5726973208 8590459812 11453946416 17180919624 34361839248