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351042660 = 2236524077
BaseRepresentation
bin10100111011000…
…111110001100100
3220110112211000000
4110323013301210
51204331331120
654500021300
711461545663
oct2473076144
9813484000
10351042660
11170177601
1299691830
135795c967
143489cdda
1520c42990
hex14ec7c64

351042660 has 84 divisors (see below), whose sum is σ = 1105324668. Its totient is φ = 93607488.

The previous prime is 351042649. The next prime is 351042661. The reversal of 351042660 is 66240153.

It can be written as a sum of positive squares in 2 ways, for example, as 243547236 + 107495424 = 15606^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351042661) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2542 + ... + 26618.

It is an arithmetic number, because the mean of its divisors is an integer number (13158627).

Almost surely, 2351042660 is an apocalyptic number.

351042660 is a gapful number since it is divisible by the number (30) 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 351042660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552662334).

351042660 is an abundant number, since it is smaller than the sum of its proper divisors (754282008).

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

351042660 is a wasteful number, since it uses less digits than its factorization.

351042660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24104 (or 24087 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 351042660 is about 18736.1324717776. The cubic root of 351042660 is about 705.4289829186.

The spelling of 351042660 in words is "three hundred fifty-one million, forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 24077 48154 72231 96308 120385 144462 216693 240770 288924 361155 433386 481540 650079 722310 866772 1083465 1300158 1444620 1950237 2166930 2600316 3250395 3900474 4333860 5850711 6500790 7800948 9751185 11701422 13001580 17552133 19502370 23402844 29253555 35104266 39004740 58507110 70208532 87760665 117014220 175521330 351042660