Search a number
-
+
3402432120 = 233529039767
BaseRepresentation
bin1100101011001100…
…1111111001111000
322210010021110102110
43022303033321320
523432010311440
61321341532320
7150213124113
oct31263177170
98703243373
103402432120
11149664767a
127ab5740a0
13422b97b59
14243c4157a
1514da88080
hexcaccfe78

3402432120 has 64 divisors (see below), whose sum is σ = 10211857920. Its totient is φ = 906909824.

The previous prime is 3402432101. The next prime is 3402432161. The reversal of 3402432120 is 212342043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343477 + ... + 353243.

It is an arithmetic number, because the mean of its divisors is an integer number (159560280).

Almost surely, 23402432120 is an apocalyptic number.

3402432120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402432120 is an abundant number, since it is smaller than the sum of its proper divisors (6809425800).

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

3402432120 is a wasteful number, since it uses less digits than its factorization.

3402432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3402432120 is about 58330.3704771365. The cubic root of 3402432120 is about 1504.0530564032.

Adding to 3402432120 its reverse (212342043), we get a palindrome (3614774163).

The spelling of 3402432120 in words is "three billion, four hundred two million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2903 5806 8709 9767 11612 14515 17418 19534 23224 29030 29301 34836 39068 43545 48835 58060 58602 69672 78136 87090 97670 116120 117204 146505 174180 195340 234408 293010 348360 390680 586020 1172040 28353601 56707202 85060803 113414404 141768005 170121606 226828808 283536010 340243212 425304015 567072020 680486424 850608030 1134144040 1701216060 3402432120