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375078240 = 253251913709
BaseRepresentation
bin10110010110110…
…011110101100000
3222010202221121200
4112112303311200
51232010000430
6101115121200
712203053365
oct2626636540
9863687550
10375078240
111827a3919
12a5743200
135c926bb4
1437b5846c
1522dde460
hex165b3d60

375078240 has 144 divisors (see below), whose sum is σ = 1347418800. Its totient is φ = 94749696.

The previous prime is 375078173. The next prime is 375078241. The reversal of 375078240 is 42870573.

375078240 is a `hidden beast` number, since 37 + 507 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3750782402 = 281367372242995200, which contains 22 as substring.

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 = 375078195 and 375078204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375078241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20506 + ... + 34214.

It is an arithmetic number, because the mean of its divisors is an integer number (9357075).

Almost surely, 2375078240 is an apocalyptic number.

375078240 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 375078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673709400).

375078240 is an abundant number, since it is smaller than the sum of its proper divisors (972340560).

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

375078240 is a wasteful number, since it uses less digits than its factorization.

375078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13749 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 375078240 is about 19366.9367737905. The cubic root of 375078240 is about 721.1749334913.

The spelling of 375078240 in words is "three hundred seventy-five million, seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 13709 27360 27418 41127 54836 68545 82254 109672 123381 137090 164508 205635 219344 246762 260471 274180 329016 411270 438688 493524 520942 548360 616905 658032 781413 822540 987048 1041884 1096720 1233810 1302355 1316064 1562826 1645080 1974096 2083768 2193440 2344239 2467620 2604710 3125652 3290160 3907065 3948192 4167536 4688478 4935240 5209420 6251304 6580320 7814130 8335072 9376956 9870480 10418840 11721195 12502608 15628260 18753912 19740960 20837680 23442390 25005216 31256520 37507824 41675360 46884780 62513040 75015648 93769560 125026080 187539120 375078240