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3414423132 = 2238281463
BaseRepresentation
bin1100101110000011…
…1111011001011100
322210221211200000000
43023200333121130
523443043020012
61322450534300
7150420055251
oct31340773134
98727750000
103414423132
1114a23976aa
127b3597390
13425505a23
14245683428
1514eb55ddc
hexcb83f65c

3414423132 has 108 divisors (see below), whose sum is σ = 9013726176. Its totient is φ = 1131641280.

The previous prime is 3414423079. The next prime is 3414423149. The reversal of 3414423132 is 2313244143.

3414423132 is a `hidden beast` number, since 341 + 4 + 4 + 2 + 313 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3414423096 and 3414423105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7374333 + ... + 7374795.

Almost surely, 23414423132 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 3414423132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506863088).

3414423132 is an abundant number, since it is smaller than the sum of its proper divisors (5599303044).

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

3414423132 is an equidigital number, since it uses as much as digits as its factorization.

3414423132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 749 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3414423132 is about 58433.0653996519. The cubic root of 3414423132 is about 1505.8178697542.

Adding to 3414423132 its reverse (2313244143), we get a palindrome (5727667275).

The spelling of 3414423132 in words is "three billion, four hundred fourteen million, four hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 281 324 463 486 562 729 843 926 972 1124 1389 1458 1686 1852 2187 2529 2778 2916 3372 4167 4374 5058 5556 6561 7587 8334 8748 10116 12501 13122 15174 16668 22761 25002 26244 30348 37503 45522 50004 68283 75006 91044 112509 130103 136566 150012 204849 225018 260206 273132 337527 390309 409698 450036 520412 614547 675054 780618 819396 1012581 1170927 1229094 1350108 1561236 1843641 2025162 2341854 2458188 3037743 3512781 3687282 4050324 4683708 6075486 7025562 7374564 10538343 12150972 14051124 21076686 31615029 42153372 63230058 94845087 126460116 189690174 284535261 379380348 569070522 853605783 1138141044 1707211566 3414423132