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3200104344 = 23317127151409
BaseRepresentation
bin1011111010111101…
…1011011110011000
322021000120010220010
42332233123132120
523023211314334
61245313201520
7142205303163
oct27657333630
98230503803
103200104344
1113a2414838
127538602a0
133bcca7188
14225014ada
1513ae1e0e9
hexbebdb798

3200104344 has 128 divisors (see below), whose sum is σ = 8615116800. Its totient is φ = 987033600.

The previous prime is 3200104339. The next prime is 3200104351. The reversal of 3200104344 is 4434010023.

It is a self number, because there is not a number n which added to its sum of digits gives 3200104344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7824012 + ... + 7824420.

It is an arithmetic number, because the mean of its divisors is an integer number (67305600).

Almost surely, 23200104344 is an apocalyptic number.

3200104344 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 3200104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307558400).

3200104344 is an abundant number, since it is smaller than the sum of its proper divisors (5415012456).

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

3200104344 is a wasteful number, since it uses less digits than its factorization.

3200104344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3200104344 is about 56569.4647667803. The cubic root of 3200104344 is about 1473.6286162230.

Adding to 3200104344 its reverse (4434010023), we get a palindrome (7634114367).

The spelling of 3200104344 in words is "three billion, two hundred million, one hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 151 204 254 302 381 408 409 453 508 604 762 818 906 1016 1208 1227 1524 1636 1812 2159 2454 2567 3048 3272 3624 4318 4908 5134 6477 6953 7701 8636 9816 10268 12954 13906 15402 17272 19177 20536 20859 25908 27812 30804 38354 41718 51816 51943 55624 57531 61608 61759 76708 83436 103886 115062 123518 153416 155829 166872 185277 207772 230124 247036 311658 326009 370554 415544 460248 494072 623316 652018 741108 883031 978027 1049903 1246632 1304036 1482216 1766062 1956054 2099806 2608072 2649093 3149709 3532124 3912108 4199612 5298186 6299418 7064248 7824216 7843393 8399224 10596372 12598836 15686786 21192744 23530179 25197672 31373572 47060358 62747144 94120716 133337681 188241432 266675362 400013043 533350724 800026086 1066701448 1600052172 3200104344