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3414132400 = 245276718199
BaseRepresentation
bin1100101101111111…
…1000011010110000
322210221021220012011
43023133320122300
523443004214100
61322440412304
7150414434530
oct31337703260
98727256164
103414132400
1114a2209228
127b3477094
134254335b3
142456094c0
1514eae9bba
hexcb7f86b0

3414132400 has 120 divisors (see below), whose sum is σ = 9514668800. Its totient is φ = 1153025280.

The previous prime is 3414132383. The next prime is 3414132419. The reversal of 3414132400 is 42314143.

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, 178501 + ... + 196699.

Almost surely, 23414132400 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 3414132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757334400).

3414132400 is an abundant number, since it is smaller than the sum of its proper divisors (6100536400).

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

3414132400 is a wasteful number, since it uses less digits than its factorization.

3414132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18291 (or 18280 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3414132400 is about 58430.5776113843. The cubic root of 3414132400 is about 1505.7751293117.

Adding to 3414132400 its reverse (42314143), we get a palindrome (3456446543).

The spelling of 3414132400 in words is "three billion, four hundred fourteen million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 67 70 80 100 112 134 140 175 200 268 280 335 350 400 469 536 560 670 700 938 1072 1340 1400 1675 1876 2345 2680 2800 3350 3752 4690 5360 6700 7504 9380 11725 13400 18199 18760 23450 26800 36398 37520 46900 72796 90995 93800 127393 145592 181990 187600 254786 291184 363980 454975 509572 636965 727960 909950 1019144 1219333 1273930 1455920 1819900 2038288 2438666 2547860 3184825 3639800 4877332 5095720 6096665 6369650 7279600 8535331 9754664 10191440 12193330 12739300 17070662 19509328 24386660 25478600 30483325 34141324 42676655 48773320 50957200 60966650 68282648 85353310 97546640 121933300 136565296 170706620 213383275 243866600 341413240 426766550 487733200 682826480 853533100 1707066200 3414132400