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1350673824 = 253194118061
BaseRepresentation
bin101000010000001…
…1010010110100000
310111010112100011110
41100200122112200
510231233030244
6342005343320
745320352363
oct12040322640
93433470143
101350673824
11633469265
12318407b40
13186a9aca6
14cb5520da
157d89e9b9
hex5081a5a0

1350673824 has 96 divisors (see below), whose sum is σ = 3823364160. Its totient is φ = 416102400.

The previous prime is 1350673771. The next prime is 1350673847. The reversal of 1350673824 is 4283760531.

It is a tau number, because it is divible by the number of its divisors (96).

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, 65754 + ... + 83814.

It is an arithmetic number, because the mean of its divisors is an integer number (39826710).

Almost surely, 21350673824 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 1350673824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911682080).

1350673824 is an abundant number, since it is smaller than the sum of its proper divisors (2472690336).

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

1350673824 is a wasteful number, since it uses less digits than its factorization.

1350673824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18134 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 1350673824 is about 36751.5145810346. The cubic root of 1350673824 is about 1105.3932996621.

The spelling of 1350673824 in words is "one billion, three hundred fifty million, six hundred seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 76 82 96 114 123 152 164 228 246 304 328 456 492 608 656 779 912 984 1312 1558 1824 1968 2337 3116 3936 4674 6232 9348 12464 18061 18696 24928 36122 37392 54183 72244 74784 108366 144488 216732 288976 343159 433464 577952 686318 740501 866928 1029477 1372636 1481002 1733856 2058954 2221503 2745272 2962004 4117908 4443006 5490544 5924008 8235816 8886012 10981088 11848016 14069519 16471632 17772024 23696032 28139038 32943264 35544048 42208557 56278076 71088096 84417114 112556152 168834228 225112304 337668456 450224608 675336912 1350673824