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1384629372 = 2232731717333
BaseRepresentation
bin101001010000111…
…1100010001111100
310120111102110102100
41102201330101330
510313431114442
6345221225100
746212104220
oct12241742174
93514373370
101384629372
116506505a5
12327862190
13190b29529
14d1c70780
158185a84c
hex5287c47c

1384629372 has 72 divisors (see below), whose sum is σ = 4012890336. Its totient is φ = 394337664.

The previous prime is 1384629361. The next prime is 1384629373. The reversal of 1384629372 is 2739264831.

1384629372 is a `hidden beast` number, since 1 + 38 + 462 + 93 + 72 = 666.

It is a super-2 number, since 2×13846293722 = 3834396995610228768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384629373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71218 + ... + 88550.

It is an arithmetic number, because the mean of its divisors is an integer number (55734588).

Almost surely, 21384629372 is an apocalyptic number.

1384629372 is a gapful number since it is divisible by the number (12) 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 1384629372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006445168).

1384629372 is an abundant number, since it is smaller than the sum of its proper divisors (2628260964).

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

1384629372 is a wasteful number, since it uses less digits than its factorization.

1384629372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17667 (or 17662 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1384629372 is about 37210.6083261212. The cubic root of 1384629372 is about 1114.5798310956.

The spelling of 1384629372 in words is "one billion, three hundred eighty-four million, six hundred twenty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 951 1268 1902 2219 2853 3804 4438 5706 6657 8876 11412 13314 17333 19971 26628 34666 39942 51999 69332 79884 103998 121331 155997 207996 242662 311994 363993 485324 623988 727986 1091979 1455972 2183958 4367916 5494561 10989122 16483683 21978244 32967366 38461927 49451049 65934732 76923854 98902098 115385781 153847708 197804196 230771562 346157343 461543124 692314686 1384629372