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375314240 = 26571371223
BaseRepresentation
bin10110010111101…
…101011101000000
3222011012221100102
4112113231131000
51232040023430
6101124141532
712205055420
oct2627553500
9864187312
10375314240
11182945164
12a58378a8
135c9aa442
1437bba480
1522e39345
hex165ed740

375314240 has 112 divisors (see below), whose sum is σ = 1029687552. Its totient is φ = 127635456.

The previous prime is 375314237. The next prime is 375314257. The reversal of 375314240 is 42413573.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306269 + ... + 307491.

Almost surely, 2375314240 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 375314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514843776).

375314240 is an abundant number, since it is smaller than the sum of its proper divisors (654373312).

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

375314240 is a wasteful number, since it uses less digits than its factorization.

375314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 375314240 is about 19373.0286739064. The cubic root of 375314240 is about 721.3261566962.

The spelling of 375314240 in words is "three hundred seventy-five million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 137 140 160 224 274 280 320 448 548 560 685 959 1096 1120 1223 1370 1918 2192 2240 2446 2740 3836 4384 4795 4892 5480 6115 7672 8561 8768 9590 9784 10960 12230 15344 17122 19180 19568 21920 24460 30688 34244 38360 39136 42805 43840 48920 61376 68488 76720 78272 85610 97840 136976 153440 167551 171220 195680 273952 306880 335102 342440 391360 547904 670204 684880 837755 1172857 1340408 1369760 1675510 2345714 2680816 2739520 3351020 4691428 5361632 5864285 6702040 9382856 10723264 11728570 13404080 18765712 23457140 26808160 37531424 46914280 53616320 75062848 93828560 187657120 375314240