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7374000384 = 283217892
BaseRepresentation
bin1101101111000011…
…00101000100000000
3201000220111000212100
412313201211010000
5110100221003014
63215414230400
7350506653252
oct66741450400
921026430770
107374000384
1131444816a3
121519655400
1390694334a
144dd4b3cd2
152d2594009
hex1b7865100

7374000384 has 81 divisors (see below), whose sum is σ = 21272951973. Its totient is φ = 2456626176.

The previous prime is 7374000373. The next prime is 7374000391. The reversal of 7374000384 is 4830004737.

The square root of 7374000384 is 85872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6967574784 + 406425600 = 83472^2 + 20160^2 .

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

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 8 ways as a sum of consecutive naturals, for example, 4120962 + ... + 4122750.

Almost surely, 27374000384 is an apocalyptic number.

7374000384 is the 85872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7374000384

7374000384 is an abundant number, since it is smaller than the sum of its proper divisors (13898951589).

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

7374000384 is an frugal number, since it uses more digits than its factorization.

7374000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The cubic root of 7374000384 is about 1946.4102604262.

Multiplying 7374000384 by its sum of digits (36), we get a square (265464013824 = 5152322).

7374000384 divided by its sum of digits (36) gives a square (204833344 = 143122).

The spelling of 7374000384 in words is "seven billion, three hundred seventy-four million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1789 2304 3578 5367 7156 10734 14312 16101 21468 28624 32202 42936 57248 64404 85872 114496 128808 171744 228992 257616 343488 457984 515232 686976 1030464 1373952 2060928 3200521 4121856 6401042 9601563 12802084 19203126 25604168 28804689 38406252 51208336 57609378 76812504 102416672 115218756 153625008 204833344 230437512 307250016 409666688 460875024 614500032 819333376 921750048 1229000064 1843500096 2458000128 3687000192 7374000384