Search a number
-
+
3469604080 = 245298591741
BaseRepresentation
bin1100111011001101…
…1111010011110000
322221210200011000211
43032303133103300
524101204312310
61332141353504
7151660101535
oct31663372360
98853604024
103469604080
111520556998
12809b68894
13433a86387
1424cb28d8c
15154905c8a
hexcecdf4f0

3469604080 has 80 divisors (see below), whose sum is σ = 8359509600. Its totient is φ = 1337656320.

The previous prime is 3469603937. The next prime is 3469604087. The reversal of 3469604080 is 804069643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3469604087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1992010 + ... + 1993750.

It is an arithmetic number, because the mean of its divisors is an integer number (104493870).

Almost surely, 23469604080 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 3469604080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179754800).

3469604080 is an abundant number, since it is smaller than the sum of its proper divisors (4889905520).

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

3469604080 is a wasteful number, since it uses less digits than its factorization.

3469604080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 3469604080 is about 58903.3452360730. The cubic root of 3469604080 is about 1513.8864665814.

The spelling of 3469604080 in words is "three billion, four hundred sixty-nine million, six hundred four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 859 1160 1718 1741 2320 3436 3482 4295 6872 6964 8590 8705 13744 13928 17180 17410 24911 27856 34360 34820 49822 50489 68720 69640 99644 100978 124555 139280 199288 201956 249110 252445 398576 403912 498220 504890 807824 996440 1009780 1495519 1992880 2019560 2991038 4039120 5982076 7477595 11964152 14955190 23928304 29910380 43370051 59820760 86740102 119641520 173480204 216850255 346960408 433700510 693920816 867401020 1734802040 3469604080