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669034240 = 2857210667
BaseRepresentation
bin100111111000001…
…010011100000000
31201121220110102221
4213320022130000
52332233043430
6150215420424
722402461100
oct4770123400
91647813387
10669034240
1131371a366
12168084714
13a87b9964
1464bd7200
153db0757a
hex27e0a700

669034240 has 108 divisors (see below), whose sum is σ = 1864361016. Its totient is φ = 229361664.

The previous prime is 669034229. The next prime is 669034243. The reversal of 669034240 is 42430966.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 669034196 and 669034205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669034243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57387 + ... + 68053.

It is an arithmetic number, because the mean of its divisors is an integer number (17262602).

Almost surely, 2669034240 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 669034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932180508).

669034240 is an abundant number, since it is smaller than the sum of its proper divisors (1195326776).

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

669034240 is a wasteful number, since it uses less digits than its factorization.

669034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10702 (or 10681 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 669034240 is about 25865.6962017263. The cubic root of 669034240 is about 874.6133758596.

The spelling of 669034240 in words is "six hundred sixty-nine million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1568 1792 1960 2240 3136 3920 4480 6272 7840 8960 10667 12544 15680 21334 31360 42668 53335 62720 74669 85336 106670 149338 170672 213340 298676 341344 373345 426680 522683 597352 682688 746690 853360 1045366 1194704 1365376 1493380 1706720 2090732 2389408 2613415 2730752 2986760 3413440 4181464 4778816 5226830 5973520 6826880 8362928 9557632 10453660 11947040 13653760 16725856 19115264 20907320 23894080 33451712 41814640 47788160 66903424 83629280 95576320 133806848 167258560 334517120 669034240