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690406332 = 2237113124103
BaseRepresentation
bin101001001001101…
…100001110111100
31210010010021102220
4221021230032330
52403221000312
6152301445340
723052233310
oct5111541674
91703107386
10690406332
11324797550
12173270850
13b0060775
146799bb40
1540929c8c
hex2926c3bc

690406332 has 96 divisors (see below), whose sum is σ = 2073329664. Its totient is φ = 173534400.

The previous prime is 690406313. The next prime is 690406351. The reversal of 690406332 is 233604096.

690406332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (690406313) and next prime (690406351).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 690406293 and 690406302.

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, 16593 + ... + 40695.

It is an arithmetic number, because the mean of its divisors is an integer number (21597184).

Almost surely, 2690406332 is an apocalyptic number.

690406332 is a gapful number since it is divisible by the number (62) 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 690406332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036664832).

690406332 is an abundant number, since it is smaller than the sum of its proper divisors (1382923332).

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

690406332 is a wasteful number, since it uses less digits than its factorization.

690406332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24159 (or 24157 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 690406332 is about 26275.5843322275. The cubic root of 690406332 is about 883.8290159533.

The spelling of 690406332 in words is "six hundred ninety million, four hundred six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4092 4774 7161 9548 14322 24103 28644 48206 72309 96412 144618 168721 265133 289236 337442 506163 530266 674884 747193 795399 1012326 1060532 1494386 1590798 1855931 2024652 2241579 2988772 3181596 3711862 4483158 5230351 5567793 7423724 8219123 8966316 10460702 11135586 15691053 16438246 20921404 22271172 24657369 31382106 32876492 49314738 57533861 62764212 98629476 115067722 172601583 230135444 345203166 690406332