Search a number
-
+
3420031120 = 24511332119
BaseRepresentation
bin1100101111011001…
…1000100010010000
322211100101120201021
43023312120202100
524001011443440
61323211045224
7150515533132
oct31366304220
98740346637
103420031120
1114a5578000
127b5440814
1342671a46c
14246303052
151503b284a
hexcbd98890

3420031120 has 80 divisors (see below), whose sum is σ = 8746404480. Its totient is φ = 1243608960.

The previous prime is 3420031099. The next prime is 3420031123. The reversal of 3420031120 is 211300243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34200311202 = 23393225723536908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3420031094 and 3420031103.

It is not an unprimeable number, because it can be changed into a prime (3420031123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90421 + ... + 122539.

It is an arithmetic number, because the mean of its divisors is an integer number (109330056).

Almost surely, 23420031120 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 3420031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373202240).

3420031120 is an abundant number, since it is smaller than the sum of its proper divisors (5326373360).

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

3420031120 is a wasteful number, since it uses less digits than its factorization.

3420031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32165 (or 32137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3420031120 is about 58481.0321386345. The cubic root of 3420031120 is about 1506.6418244092.

Adding to 3420031120 its reverse (211300243), we get a palindrome (3631331363).

The spelling of 3420031120 in words is "three billion, four hundred twenty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1331 1936 2420 2662 4840 5324 6655 9680 10648 13310 21296 26620 32119 53240 64238 106480 128476 160595 256952 321190 353309 513904 642380 706618 1284760 1413236 1766545 2569520 2826472 3533090 3886399 5652944 7066180 7772798 14132360 15545596 19431995 28264720 31091192 38863990 42750389 62182384 77727980 85500778 155455960 171001556 213751945 310911920 342003112 427503890 684006224 855007780 1710015560 3420031120