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3434214442764 = 223727337967941
BaseRepresentation
bin110001111110010111001…
…000011100011100001100
3110011022022022100102102210
4301332113020130130030
5422231232344132024
611145353433550420
7503054015060100
oct61762710343414
913138268312383
103434214442764
111104495583356
124756a7575410
131bbaca6c7b41
14bc307119900
155e4e9c4a129
hex31f9721c70c

3434214442764 has 72 divisors (see below), whose sum is σ = 9334157207088. Its totient is φ = 979865389440.

The previous prime is 3434214442699. The next prime is 3434214442823. The reversal of 3434214442764 is 4672444124343.

It is a happy number.

3434214442764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3552967 + ... + 4414974.

Almost surely, 23434214442764 is an apocalyptic number.

It is an amenable number.

3434214442764 is an abundant number, since it is smaller than the sum of its proper divisors (5899942764324).

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

3434214442764 is a wasteful number, since it uses less digits than its factorization.

3434214442764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7968695 (or 7968686 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 48.

The spelling of 3434214442764 in words is "three trillion, four hundred thirty-four billion, two hundred fourteen million, four hundred forty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 733 1466 2199 2932 4398 5131 8796 10262 15393 20524 30786 35917 61572 71834 107751 143668 215502 431004 7967941 15935882 23903823 31871764 47807646 55775587 95615292 111551174 167326761 223102348 334653522 390429109 669307044 780858218 1171287327 1561716436 2342574654 4685149308 5840500753 11681001506 17521502259 23362003012 35043004518 40883505271 70086009036 81767010542 122650515813 163534021084 245301031626 286184536897 490602063252 572369073794 858553610691 1144738147588 1717107221382 3434214442764