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674541400 = 235213318369
BaseRepresentation
bin101000001101001…
…010111101011000
31202000021020211211
4220031022331120
52340140311100
6150533432504
722500336001
oct5015127530
91660236754
10674541400
11316840a35
12169a9b734
13a9997530
146582c1a8
153e3441ba
hex2834af58

674541400 has 96 divisors (see below), whose sum is σ = 1743638400. Its totient is φ = 240998400.

The previous prime is 674541397. The next prime is 674541451. The reversal of 674541400 is 4145476.

It is a super-2 number, since 2×6745414002 = 910012200627920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 13.

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, 76416 + ... + 84784.

It is an arithmetic number, because the mean of its divisors is an integer number (18162900).

Almost surely, 2674541400 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 674541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871819200).

674541400 is an abundant number, since it is smaller than the sum of its proper divisors (1069097000).

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

674541400 is a wasteful number, since it uses less digits than its factorization.

674541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8429 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 674541400 is about 25971.9348528368. The cubic root of 674541400 is about 877.0066165255.

Adding to 674541400 its reverse (4145476), we get a palindrome (678686876).

The spelling of 674541400 in words is "six hundred seventy-four million, five hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1300 1550 1612 2015 2600 3100 3224 4030 6200 8060 8369 10075 16120 16738 20150 33476 40300 41845 66952 80600 83690 108797 167380 209225 217594 259439 334760 418450 435188 518878 543985 836900 870376 1037756 1087970 1297195 1673800 2075512 2175940 2594390 2719925 3372707 4351880 5188780 5439850 6485975 6745414 10377560 10879700 12971950 13490828 16863535 21759400 25943900 26981656 33727070 51887800 67454140 84317675 134908280 168635350 337270700 674541400