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674130528 = 253237411543
BaseRepresentation
bin101000001011100…
…110101001100000
31201222111101020100
4220023212221200
52340034134103
6150520542400
722464005061
oct5013465140
91658441210
10674130528
11316590275
12169921a00
13a9882506
1465762568
153e2b25a3
hex282e6a60

674130528 has 144 divisors (see below), whose sum is σ = 2018199456. Its totient is φ = 213166080.

The previous prime is 674130493. The next prime is 674130533. The reversal of 674130528 is 825031476.

674130528 is a `hidden beast` number, since 67 + 41 + 30 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 674130492 and 674130501.

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, 436125 + ... + 437667.

It is an arithmetic number, because the mean of its divisors is an integer number (14015274).

Almost surely, 2674130528 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 674130528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009099728).

674130528 is an abundant number, since it is smaller than the sum of its proper divisors (1344068928).

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

674130528 is a wasteful number, since it uses less digits than its factorization.

674130528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 674130528 is about 25964.0237251471. The cubic root of 674130528 is about 876.8285149543.

The spelling of 674130528 in words is "six hundred seventy-four million, one hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 41 48 72 74 82 96 111 123 144 148 164 222 246 288 296 328 333 369 444 492 592 656 666 738 888 984 1184 1312 1332 1476 1517 1543 1776 1968 2664 2952 3034 3086 3552 3936 4551 4629 5328 5904 6068 6172 9102 9258 10656 11808 12136 12344 13653 13887 18204 18516 24272 24688 27306 27774 36408 37032 48544 49376 54612 55548 57091 63263 72816 74064 109224 111096 114182 126526 145632 148128 171273 189789 218448 222192 228364 253052 342546 379578 436896 444384 456728 506104 513819 569367 685092 759156 913456 1012208 1027638 1138734 1370184 1518312 1826912 2024416 2055276 2277468 2340731 2740368 3036624 4110552 4554936 4681462 5480736 6073248 7022193 8221104 9109872 9362924 14044386 16442208 18219744 18725848 21066579 28088772 37451696 42133158 56177544 74903392 84266316 112355088 168532632 224710176 337065264 674130528