Search a number
-
+
3404252000 = 25532929347
BaseRepresentation
bin1100101011101000…
…1100001101100000
322210020200220211102
43022322030031200
523432442031000
61321444533532
7150234443642
oct31272141540
98706626742
103404252000
11149767aa06
127b00b12a8
134233842c6
14244196892
1514dce73d5
hexcae8c360

3404252000 has 96 divisors (see below), whose sum is σ = 8652964320. Its totient is φ = 1314700800.

The previous prime is 3404251987. The next prime is 3404252041. The reversal of 3404252000 is 2524043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101327 + ... + 130673.

It is an arithmetic number, because the mean of its divisors is an integer number (90135045).

Almost surely, 23404252000 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 3404252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4326482160).

3404252000 is an abundant number, since it is smaller than the sum of its proper divisors (5248712320).

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

3404252000 is a wasteful number, since it uses less digits than its factorization.

3404252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29401 (or 29383 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3404252000 is about 58345.9681554775. The cubic root of 3404252000 is about 1504.3211693397.

Adding to 3404252000 its reverse (2524043), we get a palindrome (3406776043).

The spelling of 3404252000 in words is "three billion, four hundred four million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 29347 58000 58694 116000 117388 146735 234776 293470 469552 586940 733675 851063 939104 1173880 1467350 1702126 2347760 2934700 3404252 3668375 4255315 4695520 5869400 6808504 7336750 8510630 11738800 13617008 14673500 17021260 21276575 23477600 27234016 29347000 34042520 42553150 58694000 68085040 85106300 106382875 117388000 136170080 170212600 212765750 340425200 425531500 680850400 851063000 1702126000 3404252000