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3674008320 = 28351019473
BaseRepresentation
bin1101101011111100…
…1110101100000000
3100111001021221221020
43122333032230000
530011021231240
61404322425440
7160021361343
oct33277165400
910431257836
103674008320
111615977914
12866502280
13467223228
1426bd3645a
151678300d0
hexdafceb00

3674008320 has 144 divisors (see below), whose sum is σ = 11851291872. Its totient is φ = 969932800.

The previous prime is 3674008301. The next prime is 3674008337. The reversal of 3674008320 is 238004763.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383104 + ... + 392576.

It is an arithmetic number, because the mean of its divisors is an integer number (82300638).

Almost surely, 23674008320 is an apocalyptic number.

3674008320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3674008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925645936).

3674008320 is an abundant number, since it is smaller than the sum of its proper divisors (8177283552).

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

3674008320 is a wasteful number, since it uses less digits than its factorization.

3674008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9598 (or 9584 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3674008320 is about 60613.5984742698. The cubic root of 3674008320 is about 1543.0501643673.

The spelling of 3674008320 in words is "three billion, six hundred seventy-four million, eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 128 160 192 202 240 256 303 320 384 404 480 505 606 640 768 808 960 1010 1212 1280 1515 1616 1920 2020 2424 3030 3232 3840 4040 4848 6060 6464 8080 9473 9696 12120 12928 16160 18946 19392 24240 25856 28419 32320 37892 38784 47365 48480 56838 64640 75784 77568 94730 96960 113676 129280 142095 151568 189460 193920 227352 284190 303136 378920 387840 454704 568380 606272 757840 909408 956773 1136760 1212544 1515680 1818816 1913546 2273520 2425088 2870319 3031360 3637632 3827092 4547040 4783865 5740638 6062720 7275264 7654184 9094080 9567730 11481276 12125440 14351595 15308368 18188160 19135460 22962552 28703190 30616736 36376320 38270920 45925104 57406380 61233472 76541840 91850208 114812760 122466944 153083680 183700416 229625520 244933888 306167360 367400832 459251040 612334720 734801664 918502080 1224669440 1837004160 3674008320