Search a number
-
+
3429855120 = 243514291063
BaseRepresentation
bin1100110001101111…
…0110111110010000
322212000212200201010
43030123312332100
524011020330440
61324201410520
7150665200416
oct31433667620
98760780633
103429855120
111500077a0a
127b8799a40
13428779b93
1424773d2b6
151511a3580
hexcc6f6f90

3429855120 has 40 divisors (see below), whose sum is σ = 10632551616. Its totient is φ = 914627968.

The previous prime is 3429855067. The next prime is 3429855131. The reversal of 3429855120 is 215589243.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34298551202 = 23527812288380428800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7145292 + ... + 7145771.

Almost surely, 23429855120 is an apocalyptic number.

3429855120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3429855120 is an abundant number, since it is smaller than the sum of its proper divisors (7202696496).

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

3429855120 is a wasteful number, since it uses less digits than its factorization.

3429855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14291079 (or 14291073 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 3429855120 is about 58564.9649534600. The cubic root of 3429855120 is about 1508.0830490840.

The spelling of 3429855120 in words is "three billion, four hundred twenty-nine million, eight hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 14291063 28582126 42873189 57164252 71455315 85746378 114328504 142910630 171492756 214365945 228657008 285821260 342985512 428731890 571642520 685971024 857463780 1143285040 1714927560 3429855120