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3423662160 = 243531145869
BaseRepresentation
bin1100110000010000…
…1111000001010000
322211121020001120020
43030010033001100
524002424142120
61323420543440
7150561435222
oct31404170120
98747201506
103423662160
1114a7628066
127b66b1b80
134273bc0c9
142469aa412
1515087d640
hexcc10f050

3423662160 has 80 divisors (see below), whose sum is σ = 10647711360. Its totient is φ = 910021120.

The previous prime is 3423662129. The next prime is 3423662173. The reversal of 3423662160 is 612663243.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51706 + ... + 97574.

It is an arithmetic number, because the mean of its divisors is an integer number (133096392).

Almost surely, 23423662160 is an apocalyptic number.

3423662160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423662160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323855680).

3423662160 is an abundant number, since it is smaller than the sum of its proper divisors (7224049200).

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

3423662160 is a wasteful number, since it uses less digits than its factorization.

3423662160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46196 (or 46190 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3423662160 is about 58512.0684987294. The cubic root of 3423662160 is about 1507.1748353293.

The spelling of 3423662160 in words is "three billion, four hundred twenty-three million, six hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 12440 14928 18660 24880 37320 45869 74640 91738 137607 183476 229345 275214 366952 458690 550428 688035 733904 917380 1100856 1376070 1834760 2201712 2752140 3669520 5504280 11008560 14265259 28530518 42795777 57061036 71326295 85591554 114122072 142652590 171183108 213978885 228244144 285305180 342366216 427957770 570610360 684732432 855915540 1141220720 1711831080 3423662160