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3420240312 = 2331926927883
BaseRepresentation
bin1100101111011100…
…1011100110111000
322211100210012200010
43023313023212320
524001040142222
61323215341520
7150520364046
oct31367134670
98740705603
103420240312
1114a5700195
127b55218a0
13426791748
14246359396
1515040480c
hexcbdcb9b8

3420240312 has 64 divisors (see below), whose sum is σ = 9034416000. Its totient is φ = 1076022144.

The previous prime is 3420240301. The next prime is 3420240347. The reversal of 3420240312 is 2130420243.

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, 108723 + ... + 136605.

It is an arithmetic number, because the mean of its divisors is an integer number (141162750).

Almost surely, 23420240312 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 3420240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517208000).

3420240312 is an abundant number, since it is smaller than the sum of its proper divisors (5614175688).

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

3420240312 is a wasteful number, since it uses less digits than its factorization.

3420240312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28180 (or 28176 counting only the distinct ones).

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

The square root of 3420240312 is about 58482.8206570100. The cubic root of 3420240312 is about 1506.6725425498.

Adding to 3420240312 its reverse (2130420243), we get a palindrome (5550660555).

The spelling of 3420240312 in words is "three billion, four hundred twenty million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 269 456 538 807 1076 1614 2152 3228 5111 6456 10222 15333 20444 27883 30666 40888 55766 61332 83649 111532 122664 167298 223064 334596 529777 669192 1059554 1589331 2119108 3178662 4238216 6357324 7500527 12714648 15001054 22501581 30002108 45003162 60004216 90006324 142510013 180012648 285020026 427530039 570040052 855060078 1140080104 1710120156 3420240312