Search a number
-
+
370023696 = 2432722292
BaseRepresentation
bin10110000011100…
…001110100010000
3221210021011002100
4112003201310100
51224211224241
6100414520400
712112102200
oct2603416420
9853234070
10370023696
1117a961309
12a3b06100
135b877343
1437200400
15227419b6
hex160e1d10

370023696 has 135 divisors (see below), whose sum is σ = 1209905541. Its totient is φ = 105259392.

The previous prime is 370023691. The next prime is 370023697. The reversal of 370023696 is 696320073.

The square root of 370023696 is 19236.

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., 344622096 + 25401600 = 18564^2 + 5040^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 370023696.

It is not an unprimeable number, because it can be changed into a prime (370023691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1615710 + ... + 1615938.

Almost surely, 2370023696 is an apocalyptic number.

370023696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

370023696 is the 19236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 370023696

370023696 is an abundant number, since it is smaller than the sum of its proper divisors (839881845).

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

370023696 is a wasteful number, since it uses less digits than its factorization.

370023696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The cubic root of 370023696 is about 717.9207605438.

Multiplying 370023696 by its sum of digits (36), we get a square (13320853056 = 1154162).

370023696 divided by its sum of digits (36) gives a square (10278436 = 32062).

The spelling of 370023696 in words is "three hundred seventy million, twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 229 252 294 336 392 441 458 504 588 687 784 882 916 1008 1176 1374 1603 1764 1832 2061 2352 2748 3206 3528 3664 4122 4809 5496 6412 7056 8244 9618 10992 11221 12824 14427 16488 19236 22442 25648 28854 32976 33663 38472 44884 52441 57708 67326 76944 89768 100989 104882 115416 134652 157323 179536 201978 209764 230832 269304 314646 367087 403956 419528 471969 538608 629292 734174 807912 839056 943938 1101261 1258584 1468348 1615824 1887876 2202522 2517168 2569609 2936696 3303783 3775752 4405044 5139218 5873392 6607566 7551504 7708827 8810088 10278436 13215132 15417654 17620176 20556872 23126481 26430264 30835308 41113744 46252962 52860528 61670616 92505924 123341232 185011848 370023696