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372980000 = 2554171097
BaseRepresentation
bin10110001110110…
…011100100100000
3221222211100101002
4112032303210200
51230440330000
6101002131132
712146164151
oct2616634440
9858740332
10372980000
111815a0438
12a4ab0aa8
135c370b33
143776d928
1522b278d5
hex163b3920

372980000 has 120 divisors (see below), whose sum is σ = 972448092. Its totient is φ = 140288000.

The previous prime is 372979963. The next prime is 372980021. The reversal of 372980000 is 89273.

It can be written as a sum of positive squares in 10 ways, for example, as 22391824 + 350588176 = 4732^2 + 18724^2 .

It is a super-2 number, since 2×3729800002 = 278228160800000000, which contains 22 as substring.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 339452 + ... + 340548.

Almost surely, 2372980000 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 372980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486224046).

372980000 is an abundant number, since it is smaller than the sum of its proper divisors (599468092).

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

372980000 is a wasteful number, since it uses less digits than its factorization.

372980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 372980000 is about 19312.6901285139. The cubic root of 372980000 is about 719.8276336363.

The spelling of 372980000 in words is "three hundred seventy-two million, nine hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1097 1250 1360 1700 2000 2125 2194 2500 2720 3400 4000 4250 4388 5000 5485 6800 8500 8776 10000 10625 10970 13600 17000 17552 18649 20000 21250 21940 27425 34000 35104 37298 42500 43880 54850 68000 74596 85000 87760 93245 109700 137125 149192 170000 175520 186490 219400 274250 298384 340000 372980 438800 466225 548500 596768 685625 745960 877600 932450 1097000 1371250 1491920 1864900 2194000 2331125 2742500 2983840 3729800 4388000 4662250 5485000 7459600 9324500 10970000 11655625 14919200 18649000 21940000 23311250 37298000 46622500 74596000 93245000 186490000 372980000