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374196240 = 243351115749
BaseRepresentation
bin10110010011011…
…100100000010000
3222002010010202000
4112103130200100
51231243234430
6101044154000
712162421065
oct2623344020
9862103660
10374196240
111822511a0
12a5398900
135c6a85c2
14379a8c6c
1522cb7e60
hex164dc810

374196240 has 160 divisors (see below), whose sum is σ = 1406160000. Its totient is φ = 90708480.

The previous prime is 374196103. The next prime is 374196247. The reversal of 374196240 is 42691473.

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

It is a junction number, because it is equal to n+sod(n) for n = 374196195 and 374196204.

It is not an unprimeable number, because it can be changed into a prime (374196247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15886 + ... + 31634.

It is an arithmetic number, because the mean of its divisors is an integer number (8788500).

Almost surely, 2374196240 is an apocalyptic number.

374196240 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 374196240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703080000).

374196240 is an abundant number, since it is smaller than the sum of its proper divisors (1031963760).

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

374196240 is a wasteful number, since it uses less digits than its factorization.

374196240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 15770 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 374196240 is about 19344.1526048571. The cubic root of 374196240 is about 720.6092066148.

The spelling of 374196240 in words is "three hundred seventy-four million, one hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 15749 23760 31498 47247 62996 78745 94494 125992 141741 157490 173239 188988 236235 251984 283482 314980 346478 377976 425223 472470 519717 566964 629960 692956 708705 755952 850446 866195 944940 1039434 1133928 1259920 1385912 1417410 1559151 1700892 1732390 1889880 2078868 2126115 2267856 2598585 2771824 2834820 3118302 3401784 3464780 3779760 4157736 4252230 4677453 5197170 5669640 6236604 6803568 6929560 7795755 8315472 8504460 9354906 10394340 11339280 12473208 13859120 15591510 17008920 18709812 20788680 23387265 24946416 31183020 34017840 37419624 41577360 46774530 62366040 74839248 93549060 124732080 187098120 374196240