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374730240 = 293559827
BaseRepresentation
bin10110010101011…
…110111000000000
3222010010021020210
4112111132320000
51231412331430
6101103434120
712200103663
oct2625367000
9863107223
10374730240
11182586415
12a55b5940
135c834691
1437aa76da
1522d712b0
hex1655ee00

374730240 has 160 divisors (see below), whose sum is σ = 1219743360. Its totient is φ = 98115584.

The previous prime is 374730229. The next prime is 374730247. The reversal of 374730240 is 42037473.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 374730198 and 374730207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374730247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452707 + ... + 453533.

It is an arithmetic number, because the mean of its divisors is an integer number (7623396).

Almost surely, 2374730240 is an apocalyptic number.

374730240 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 374730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609871680).

374730240 is an abundant number, since it is smaller than the sum of its proper divisors (845013120).

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

374730240 is an equidigital number, since it uses as much as digits as its factorization.

374730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 374730240 is about 19357.9503047198. The cubic root of 374730240 is about 720.9518275657.

The spelling of 374730240 in words is "three hundred seventy-four million, seven hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 512 590 640 708 768 827 885 944 960 1180 1280 1416 1536 1654 1770 1888 1920 2360 2481 2560 2832 3308 3540 3776 3840 4135 4720 4962 5664 6616 7080 7552 7680 8270 9440 9924 11328 12405 13232 14160 15104 16540 18880 19848 22656 24810 26464 28320 30208 33080 37760 39696 45312 48793 49620 52928 56640 66160 75520 79392 90624 97586 99240 105856 113280 132320 146379 151040 158784 195172 198480 211712 226560 243965 264640 292758 317568 390344 396960 423424 453120 487930 529280 585516 635136 731895 780688 793920 975860 1058560 1171032 1270272 1463790 1561376 1587840 1951720 2117120 2342064 2927580 3122752 3175680 3903440 4684128 5855160 6245504 6351360 7806880 9368256 11710320 12491008 15613760 18736512 23420640 24982016 31227520 37473024 46841280 62455040 74946048 93682560 124910080 187365120 374730240