Search a number
-
+
3416004504 = 23321119492213
BaseRepresentation
bin1100101110011100…
…0001011110011000
322211001211000020100
43023213001132120
523443444121004
61322544455400
7150436362543
oct31347013630
98731730210
103416004504
1114a3277820
127b401a560
1342593a753
1424597585a
1514ed69739
hexcb9c1798

3416004504 has 96 divisors (see below), whose sum is σ = 10102482000. Its totient is φ = 1034154240.

The previous prime is 3416004499. The next prime is 3416004541. The reversal of 3416004504 is 4054006143.

3416004504 is a `hidden beast` number, since 3 + 4 + 1 + 600 + 4 + 50 + 4 = 666.

3416004504 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1542502 + ... + 1544714.

Almost surely, 23416004504 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 3416004504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051241000).

3416004504 is an abundant number, since it is smaller than the sum of its proper divisors (6686477496).

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

3416004504 is a wasteful number, since it uses less digits than its factorization.

3416004504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3416004504 is about 58446.5953157239. The cubic root of 3416004504 is about 1506.0503043995.

It can be divided in two parts, 341 and 6004504, that added together give a triangular number (6004845 = T3465).

The spelling of 3416004504 in words is "three billion, four hundred sixteen million, four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1949 2213 3898 4426 5847 6639 7796 8852 11694 13278 15592 17541 17704 19917 21439 23388 24343 26556 35082 39834 42878 46776 48686 53112 64317 70164 73029 79668 85756 97372 128634 140328 146058 159336 171512 192951 194744 219087 257268 292116 385902 438174 514536 584232 771804 876348 1543608 1752696 4313137 8626274 12939411 17252548 25878822 34505096 38818233 47444507 51757644 77636466 94889014 103515288 142333521 155272932 189778028 284667042 310545864 379556056 427000563 569334084 854001126 1138668168 1708002252 3416004504