Search a number
-
+
3329429312 = 261137127819
BaseRepresentation
bin1100011001110011…
…0000111101000000
322121000220112101202
43012130300331000
523304313214222
61310213120332
7145335452666
oct30634607500
98530815352
103329429312
111459415580
1278b0290a8
13410a17621
1423827ac36
15147467892
hexc6730f40

3329429312 has 56 divisors (see below), whose sum is σ = 7402311840. Its totient is φ = 1472463360.

The previous prime is 3329429273. The next prime is 3329429317. The reversal of 3329429312 is 2139249233.

It is a super-2 number, since 2×33294293122 = 22170199087209586688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329429317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37862 + ... + 89957.

It is an arithmetic number, because the mean of its divisors is an integer number (132184140).

Almost surely, 23329429312 is an apocalyptic number.

3329429312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3329429312 is an abundant number, since it is smaller than the sum of its proper divisors (4072882528).

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

3329429312 is a wasteful number, since it uses less digits than its factorization.

3329429312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127879 (or 127869 counting only the distinct ones).

The product of its digits is 69984, while the sum is 38.

The square root of 3329429312 is about 57701.2071970769. The cubic root of 3329429312 is about 1493.2181710370.

The spelling of 3329429312 in words is "three billion, three hundred twenty-nine million, four hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 148 176 296 352 407 592 704 814 1184 1628 2368 3256 6512 13024 26048 127819 255638 511276 1022552 1406009 2045104 2812018 4090208 4729303 5624036 8180416 9458606 11248072 18917212 22496144 37834424 44992288 52022333 75668848 89984576 104044666 151337696 208089332 302675392 416178664 832357328 1664714656 3329429312