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290524332 = 22372716959
BaseRepresentation
bin10001010100010…
…000110010101100
3202020200011110110
4101110100302230
51043333234312
644454540020
710125262500
oct2124206254
9666604413
10290524332
11139aa225a
1281367610
1348260ab7
142a828300
151a78b43c
hex11510cac

290524332 has 72 divisors (see below), whose sum is σ = 799787520. Its totient is φ = 81826080.

The previous prime is 290524331. The next prime is 290524393. The reversal of 290524332 is 233425092.

It is a self number, because there is not a number n which added to its sum of digits gives 290524332.

It is not an unprimeable number, because it can be changed into a prime (290524331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38269 + ... + 45227.

It is an arithmetic number, because the mean of its divisors is an integer number (11108160).

Almost surely, 2290524332 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 290524332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399893760).

290524332 is an abundant number, since it is smaller than the sum of its proper divisors (509263188).

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

290524332 is a wasteful number, since it uses less digits than its factorization.

290524332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 290524332 is about 17044.7743311550. The cubic root of 290524332 is about 662.3092752038.

The spelling of 290524332 in words is "two hundred ninety million, five hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 426 497 588 852 994 1491 1988 2982 3479 5964 6958 6959 10437 13916 13918 20874 20877 27836 41748 41754 48713 83508 97426 146139 194852 292278 340991 494089 584556 681982 988178 1022973 1363964 1482267 1976356 2045946 2964534 3458623 4091892 5929068 6917246 10375869 13834492 20751738 24210361 41503476 48420722 72631083 96841444 145262166 290524332