Search a number
-
+
3674960688 = 2437113151641
BaseRepresentation
bin1101101100001011…
…0111001100110000
3100111010002100100010
43123002313030300
530011242220223
61404355054520
7160032436050
oct33302671460
910433070303
103674960688
1116164683a3
128668a1440
13467497869
1426c103560
1516796c393
hexdb0b7330

3674960688 has 160 divisors (see below), whose sum is σ = 11035579392. Its totient is φ = 1032192000.

The previous prime is 3674960687. The next prime is 3674960699. The reversal of 3674960688 is 8860694763.

It is a happy number.

3674960688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3674960683) 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, 5732848 + ... + 5733488.

Almost surely, 23674960688 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 3674960688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517789696).

3674960688 is an abundant number, since it is smaller than the sum of its proper divisors (7360618704).

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

3674960688 is a wasteful number, since it uses less digits than its factorization.

3674960688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The square root of 3674960688 is about 60621.4540241324. The cubic root of 3674960688 is about 1543.1834814887.

The spelling of 3674960688 in words is "three billion, six hundred seventy-four million, nine hundred sixty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 151 168 226 302 336 339 452 453 604 641 678 791 904 906 1057 1208 1282 1356 1582 1808 1812 1923 2114 2373 2416 2564 2712 3164 3171 3624 3846 4228 4487 4746 5128 5424 6328 6342 7248 7692 8456 8974 9492 10256 12656 12684 13461 15384 16912 17063 17948 18984 25368 26922 30768 34126 35896 37968 50736 51189 53844 68252 71792 72433 96791 102378 107688 119441 136504 144866 193582 204756 215376 217299 238882 273008 289732 290373 358323 387164 409512 434598 477764 507031 579464 580746 677537 716646 774328 819024 869196 955528 1014062 1158928 1161492 1355074 1433292 1521093 1548656 1738392 1911056 2028124 2032611 2322984 2710148 2866584 3042186 3476784 4056248 4065222 4645968 5420296 5733168 6084372 8112496 8130444 10840592 10937383 12168744 16260888 21874766 24337488 32521776 32812149 43749532 65624298 76561681 87499064 131248596 153123362 174998128 229685043 262497192 306246724 459370086 524994384 612493448 918740172 1224986896 1837480344 3674960688