Search a number
-
+
3401342120 = 2351123336101
BaseRepresentation
bin1100101010111100…
…0101110010101000
322210001020002020002
43022233011302220
523431220421440
61321302322132
7150200634221
oct31257056250
98701202202
103401342120
111495a72750
127ab129348
134228a5997
14243a3a248
1514d920115
hexcabc5ca8

3401342120 has 64 divisors (see below), whose sum is σ = 8711763840. Its totient is φ = 1183072000.

The previous prime is 3401342089. The next prime is 3401342137. The reversal of 3401342120 is 212431043.

3401342120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3401342092 and 3401342101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157931 + ... + 178170.

It is an arithmetic number, because the mean of its divisors is an integer number (136121310).

Almost surely, 23401342120 is an apocalyptic number.

It is an amenable number.

3401342120 is an abundant number, since it is smaller than the sum of its proper divisors (5310421720).

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

3401342120 is a wasteful number, since it uses less digits than its factorization.

3401342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336146 (or 336142 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3401342120 is about 58321.0263970037. The cubic root of 3401342120 is about 1503.8924269013.

Adding to 3401342120 its reverse (212431043), we get a palindrome (3613773163).

The spelling of 3401342120 in words is "three billion, four hundred one million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 336101 672202 1344404 1680505 2688808 3361010 3697111 6722020 7394222 7730323 13444040 14788444 15460646 18485555 29576888 30921292 36971110 38651615 61842584 73942220 77303230 85033553 147884440 154606460 170067106 309212920 340134212 425167765 680268424 850335530 1700671060 3401342120