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3674498560 = 2957918169
BaseRepresentation
bin1101101100000100…
…0110011000000000
3100111002012212102021
43123001012120000
530011132423220
61404341131224
7160025502535
oct33301063000
910432185367
103674498560
111616182177
128666b9b14
13467365405
1426c022d8c
151678ca4aa
hexdb046600

3674498560 has 80 divisors (see below), whose sum is σ = 8922196800. Its totient is φ = 1451114496.

The previous prime is 3674498549. The next prime is 3674498579. The reversal of 3674498560 is 658944763.

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

It is a junction number, because it is equal to n+sod(n) for n = 3674498498 and 3674498507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193156 + ... + 211324.

It is an arithmetic number, because the mean of its divisors is an integer number (111527460).

Almost surely, 23674498560 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 3674498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461098400).

3674498560 is an abundant number, since it is smaller than the sum of its proper divisors (5247698240).

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

3674498560 is an equidigital number, since it uses as much as digits as its factorization.

3674498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18271 (or 18255 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The square root of 3674498560 is about 60617.6423164082. The cubic root of 3674498560 is about 1543.1187934324.

The spelling of 3674498560 in words is "three billion, six hundred seventy-four million, four hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 512 632 640 790 1264 1280 1580 2528 2560 3160 5056 6320 10112 12640 18169 20224 25280 36338 40448 50560 72676 90845 101120 145352 181690 202240 290704 363380 581408 726760 1162816 1435351 1453520 2325632 2870702 2907040 4651264 5741404 5814080 7176755 9302528 11482808 11628160 14353510 22965616 23256320 28707020 45931232 46512640 57414040 91862464 114828080 183724928 229656160 367449856 459312320 734899712 918624640 1837249280 3674498560