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699420384 = 253213892099
BaseRepresentation
bin101001101100000…
…100111011100000
31210202002020101200
4221230010323200
52413022423014
6153223001200
723221655325
oct5154047340
91722066350
10699420384
11329893983
12176299200
13b1b98620
1468c66b4c
154160aa09
hex29b04ee0

699420384 has 144 divisors (see below), whose sum is σ = 2167074000. Its totient is φ = 212686848.

The previous prime is 699420349. The next prime is 699420401. The reversal of 699420384 is 483024996.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332167 + ... + 334265.

It is an arithmetic number, because the mean of its divisors is an integer number (15049125).

Almost surely, 2699420384 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 699420384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083537000).

699420384 is an abundant number, since it is smaller than the sum of its proper divisors (1467653616).

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

699420384 is a wasteful number, since it uses less digits than its factorization.

699420384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 699420384 is about 26446.5571294261. The cubic root of 699420384 is about 887.6588658013.

The spelling of 699420384 in words is "six hundred ninety-nine million, four hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 89 96 104 117 144 156 178 208 234 267 288 312 356 416 468 534 624 712 801 936 1068 1157 1248 1424 1602 1872 2099 2136 2314 2848 3204 3471 3744 4198 4272 4628 6297 6408 6942 8396 8544 9256 10413 12594 12816 13884 16792 18512 18891 20826 25188 25632 27287 27768 33584 37024 37782 41652 50376 54574 55536 67168 75564 81861 83304 100752 109148 111072 151128 163722 166608 186811 201504 218296 245583 302256 327444 333216 373622 436592 491166 560433 604512 654888 747244 873184 982332 1120866 1309776 1494488 1681299 1964664 2241732 2428543 2619552 2988976 3362598 3929328 4483464 4857086 5977952 6725196 7285629 7858656 8966928 9714172 13450392 14571258 17933856 19428344 21856887 26900784 29142516 38856688 43713774 53801568 58285032 77713376 87427548 116570064 174855096 233140128 349710192 699420384