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3374812080 = 243352367931
BaseRepresentation
bin1100100100100111…
…1000101110110000
322201012022012212000
43021021320232300
523402422441310
61314513534000
7146426300163
oct31111705660
98635265760
103374812080
111481aa22a2
127a2274300
1341a247233
142402d1ada
1514b42e4c0
hexc9278bb0

3374812080 has 160 divisors (see below), whose sum is σ = 12129937920. Its totient is φ = 860808960.

The previous prime is 3374812079. The next prime is 3374812087. The reversal of 3374812080 is 802184733.

3374812080 is a `hidden beast` number, since 3 + 374 + 81 + 208 + 0 = 666.

It is a super-2 number, since 2×33748120802 = 22778713150627852800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3374812087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15715 + ... + 83645.

It is an arithmetic number, because the mean of its divisors is an integer number (75812112).

Almost surely, 23374812080 is an apocalyptic number.

3374812080 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 3374812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064968960).

3374812080 is an abundant number, since it is smaller than the sum of its proper divisors (8755125840).

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

3374812080 is a wasteful number, since it uses less digits than its factorization.

3374812080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67976 (or 67964 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3374812080 is about 58093.1328127516. The cubic root of 3374812080 is about 1499.9721594833.

The spelling of 3374812080 in words is "three billion, three hundred seventy-four million, eight hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 49680 67931 135862 203793 271724 339655 407586 543448 611379 679310 815172 1018965 1086896 1222758 1358620 1562413 1630344 1834137 2037930 2445516 2717240 3056895 3124826 3260688 3668274 4075860 4687239 4891032 5434480 6113790 6249652 7336548 7812065 8151720 9170685 9374478 9782064 12227580 12499304 14061717 14673096 15624130 16303440 18341370 18748956 23436195 24455160 24998608 28123434 29346192 31248260 36682740 37497912 42185151 46872390 48910320 56246868 62496520 70308585 73365480 74995824 84370302 93744780 112493736 124993040 140617170 146730960 168740604 187489560 210925755 224987472 281234340 337481208 374979120 421851510 562468680 674962416 843703020 1124937360 1687406040 3374812080