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3424330305120 = 25357134021469
BaseRepresentation
bin110001110101001001111…
…111011100111001100000
3110010100210110121012120210
4301311021333130321200
5422101012024230440
611141040550334120
7502254045224214
oct61651177347140
913110713535523
103424330305120
11110028320445a
124737a935a340
131babb3a1619a
14bba4a516944
155e11c126a80
hex31d49fdce60

3424330305120 has 48 divisors (see below), whose sum is σ = 10786640462640. Its totient is φ = 913154747904.

The previous prime is 3424330305101. The next prime is 3424330305133. The reversal of 3424330305120 is 215030334243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3567010255 + ... + 3567011214.

It is an arithmetic number, because the mean of its divisors is an integer number (224721676305).

Almost surely, 23424330305120 is an apocalyptic number.

3424330305120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3424330305120 is an abundant number, since it is smaller than the sum of its proper divisors (7362310157520).

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

3424330305120 is a wasteful number, since it uses less digits than its factorization.

3424330305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134021487 (or 7134021479 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 3424330305120 its reverse (215030334243), we get a palindrome (3639360639363).

The spelling of 3424330305120 in words is "three trillion, four hundred twenty-four billion, three hundred thirty million, three hundred five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7134021469 14268042938 21402064407 28536085876 35670107345 42804128814 57072171752 71340214690 85608257628 107010322035 114144343504 142680429380 171216515256 214020644070 228288687008 285360858760 342433030512 428041288140 570721717520 684866061024 856082576280 1141443435040 1712165152560 3424330305120