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690574304 = 25719211769
BaseRepresentation
bin101001001010010…
…101001111100000
31210010102210212002
4221022111033200
52403241334204
6152305223132
723053533110
oct5112251740
91703383762
10690574304
113248a1772
12173331aa8
13b00bc064
1467a03040
154095e91e
hex292953e0

690574304 has 96 divisors (see below), whose sum is σ = 1645459200. Its totient is φ = 278691840.

The previous prime is 690574231. The next prime is 690574309. The reversal of 690574304 is 403475096.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690574309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 897632 + ... + 898400.

It is an arithmetic number, because the mean of its divisors is an integer number (17140200).

Almost surely, 2690574304 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 690574304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822729600).

690574304 is an abundant number, since it is smaller than the sum of its proper divisors (954884896).

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

690574304 is a wasteful number, since it uses less digits than its factorization.

690574304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 690574304 is about 26278.7804892084. The cubic root of 690574304 is about 883.9006870270.

The spelling of 690574304 in words is "six hundred ninety million, five hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 211 224 266 304 422 532 608 769 844 1064 1477 1538 1688 2128 2954 3076 3376 4009 4256 5383 5908 6152 6752 8018 10766 11816 12304 14611 16036 21532 23632 24608 28063 29222 32072 43064 47264 56126 58444 64144 86128 102277 112252 116888 128288 162259 172256 204554 224504 233776 324518 409108 449008 467552 649036 818216 898016 1135813 1298072 1636432 2271626 2596144 3082921 3272864 4543252 5192288 6165842 9086504 12331684 18173008 21580447 24663368 36346016 43160894 49326736 86321788 98653472 172643576 345287152 690574304