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370485504 = 28324012
BaseRepresentation
bin10110000101010…
…010100100000000
3221211010121120100
4112011102210000
51224321014004
6100432442400
712116034444
oct2605224400
9854117510
10370485504
11180147274
12a40a9400
135b9a95bc
14372c0824
15227d3739
hex16152900

370485504 has 81 divisors (see below), whose sum is σ = 1070871529. Its totient is φ = 123187200.

The previous prime is 370485497. The next prime is 370485509. The reversal of 370485504 is 405584073.

The square root of 370485504 is 19248.

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

370485504 is a `hidden beast` number, since 3 + 70 + 4 + 85 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 366799104 + 3686400 = 19152^2 + 1920^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (370485509) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 923704 + ... + 924104.

Almost surely, 2370485504 is an apocalyptic number.

370485504 is the 19248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 370485504

370485504 is an abundant number, since it is smaller than the sum of its proper divisors (700386025).

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

370485504 is an frugal number, since it uses more digits than its factorization.

370485504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The cubic root of 370485504 is about 718.2193033335.

Multiplying 370485504 by its sum of digits (36), we get a square (13337478144 = 1154882).

370485504 divided by its sum of digits (36) gives a square (10291264 = 32082).

The spelling of 370485504 in words is "three hundred seventy million, four hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 401 576 768 802 1152 1203 1604 2304 2406 3208 3609 4812 6416 7218 9624 12832 14436 19248 25664 28872 38496 51328 57744 76992 102656 115488 153984 160801 230976 307968 321602 461952 482403 643204 923904 964806 1286408 1447209 1929612 2572816 2894418 3859224 5145632 5788836 7718448 10291264 11577672 15436896 20582528 23155344 30873792 41165056 46310688 61747584 92621376 123495168 185242752 370485504