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1930374144 = 21032209459
BaseRepresentation
bin111001100001111…
…0010110000000000
311222112100011111200
41303003302300000
512423133433034
6515314341200
765556623646
oct16303626000
94875304450
101930374144
11900711736
1245a58a800
13249c09c2a
14144533196
15b470ca99
hex730f2c00

1930374144 has 66 divisors (see below), whose sum is σ = 5573940060. Its totient is φ = 643454976.

The previous prime is 1930374073. The next prime is 1930374163. The reversal of 1930374144 is 4414730391.

It is a super-3 number, since 3×19303741443 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1930374099 and 1930374108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95514 + ... + 113945.

Almost surely, 21930374144 is an apocalyptic number.

It is an amenable number.

1930374144 is an abundant number, since it is smaller than the sum of its proper divisors (3643565916).

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

1930374144 is a wasteful number, since it uses less digits than its factorization.

1930374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209485 (or 209464 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1930374144 is about 43936.0233066216. The cubic root of 1930374144 is about 1245.1275158499.

The spelling of 1930374144 in words is "one billion, nine hundred thirty million, three hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 209459 418918 628377 837836 1256754 1675672 1885131 2513508 3351344 3770262 5027016 6702688 7540524 10054032 13405376 15081048 20108064 26810752 30162096 40216128 53621504 60324192 80432256 107243008 120648384 160864512 214486016 241296768 321729024 482593536 643458048 965187072 1930374144