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1923410664 = 233373734381
BaseRepresentation
bin111001010100100…
…1110101011101000
311222001020101102000
41302221032223220
512414343120124
6514505211000
765443502160
oct16251165350
94861211360
101923410664
118a779599a
12458190a60
1324863c526
1414363d5a0
15b3cd46c9
hex72a4eae8

1923410664 has 128 divisors (see below), whose sum is σ = 6271276800. Its totient is φ = 534677760.

The previous prime is 1923410663. The next prime is 1923410743. The reversal of 1923410664 is 4660143291.

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

It is not an unprimeable number, because it can be changed into a prime (1923410663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38754 + ... + 73134.

It is an arithmetic number, because the mean of its divisors is an integer number (48994350).

Almost surely, 21923410664 is an apocalyptic number.

1923410664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1923410664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135638400).

1923410664 is an abundant number, since it is smaller than the sum of its proper divisors (4347866136).

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

1923410664 is a wasteful number, since it uses less digits than its factorization.

1923410664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34440 (or 34430 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1923410664 is about 43856.7060322592. The cubic root of 1923410664 is about 1243.6285202295.

The spelling of 1923410664 in words is "one billion, nine hundred twenty-three million, four hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2331 2664 3108 3996 4662 6216 6993 7992 9324 13986 18648 27972 34381 55944 68762 103143 137524 206286 240667 275048 309429 412572 481334 618858 722001 825144 928287 962668 1237716 1272097 1444002 1856574 1925336 2166003 2475432 2544194 2888004 3713148 3816291 4332006 5088388 5776008 6498009 7426296 7632582 8664012 8904679 10176776 11448873 12996018 15265164 17328024 17809358 22897746 25992036 26714037 30530328 34346619 35618716 45795492 51984072 53428074 68693238 71237432 80142111 91590984 106856148 137386476 160284222 213712296 240426333 274772952 320568444 480852666 641136888 961705332 1923410664