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3389103504 = 2436377853
BaseRepresentation
bin1100101000000001…
…1001110110010000
322202012012022000000
43022000121312100
523420102303004
61320144130000
7146661622143
oct31200316620
98665168000
103389103504
11148a073696
127a7006900
134201ac1b7
1424217205a
1514c803c39
hexca019d90

3389103504 has 140 divisors (see below), whose sum is σ = 10112449116. Its totient is φ = 1099028736.

The previous prime is 3389103503. The next prime is 3389103517. The reversal of 3389103504 is 4053019833.

It can be written as a sum of positive squares in 2 ways, for example, as 1380271104 + 2008832400 = 37152^2 + 44820^2 .

It is a super-2 number, since 2×33891035042 = 22972045121650156032, which contains 22 as substring.

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 (3389103503) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 427642 + ... + 435494.

Almost surely, 23389103504 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 3389103504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056224558).

3389103504 is an abundant number, since it is smaller than the sum of its proper divisors (6723345612).

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

3389103504 is an equidigital number, since it uses as much as digits as its factorization.

3389103504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7916 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3389103504 is about 58216.0072832207. The cubic root of 3389103504 is about 1502.0865043208.

The spelling of 3389103504 in words is "three billion, three hundred eighty-nine million, one hundred three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 486 592 648 666 729 888 972 999 1296 1332 1458 1776 1944 1998 2664 2916 2997 3888 3996 5328 5832 5994 7853 7992 8991 11664 11988 15706 15984 17982 23559 23976 26973 31412 35964 47118 47952 53946 62824 70677 71928 94236 107892 125648 141354 143856 188472 212031 215784 282708 290561 376944 424062 431568 565416 581122 636093 848124 871683 1130832 1162244 1272186 1696248 1743366 1908279 2324488 2544372 2615049 3392496 3486732 3816558 4648976 5088744 5230098 5724837 6973464 7633116 7845147 10177488 10460196 11449674 13946928 15266232 15690294 20920392 22899348 23535441 30532464 31380588 41840784 45798696 47070882 62761176 70606323 91597392 94141764 125522352 141212646 188283528 211818969 282425292 376567056 423637938 564850584 847275876 1129701168 1694551752 3389103504