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2048417340 = 223534798387
BaseRepresentation
bin111101000011000…
…0101111000111100
312021202110101022220
41322012011320330
513143343323330
6535132405340
7101522155134
oct17206057074
95252411286
102048417340
119613072a2
12492016850
132684ca288
1415609dac4
15bec78710
hex7a185e3c

2048417340 has 48 divisors (see below), whose sum is σ = 5752156032. Its totient is φ = 544664896.

The previous prime is 2048417333. The next prime is 2048417377. The reversal of 2048417340 is 437148402.

2048417340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28374 + ... + 70013.

It is an arithmetic number, because the mean of its divisors is an integer number (119836584).

Almost surely, 22048417340 is an apocalyptic number.

2048417340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048417340 is an abundant number, since it is smaller than the sum of its proper divisors (3703738692).

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

2048417340 is a wasteful number, since it uses less digits than its factorization.

2048417340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98746 (or 98744 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2048417340 is about 45259.4447601824. Note that the first 3 decimals coincide. The cubic root of 2048417340 is about 1270.0070969079.

The spelling of 2048417340 in words is "two billion, forty-eight million, four hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 347 694 1041 1388 1735 2082 3470 4164 5205 6940 10410 20820 98387 196774 295161 393548 491935 590322 983870 1180644 1475805 1967740 2951610 5903220 34140289 68280578 102420867 136561156 170701445 204841734 341402890 409683468 512104335 682805780 1024208670 2048417340