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370428336 = 24338310331
BaseRepresentation
bin10110000101000…
…100100110110000
3221211000201011000
4112011010212300
51224312201321
6100431322000
712115405665
oct2605044660
9854021130
10370428336
11180108323
12a4080300
135b989585
14372a7a6c
15227c1826
hex161449b0

370428336 has 80 divisors (see below), whose sum is σ = 1076181120. Its totient is φ = 121976640.

The previous prime is 370428323. The next prime is 370428337. The reversal of 370428336 is 633824073.

370428336 is a `hidden beast` number, since 370 + 4 + 283 + 3 + 6 = 666.

It is a super-2 number, since 2×3704283362 = 274434304223457792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 370428336.

It is not an unprimeable number, because it can be changed into a prime (370428337) 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 15 ways as a sum of consecutive naturals, for example, 30691 + ... + 41021.

It is an arithmetic number, because the mean of its divisors is an integer number (13452264).

Almost surely, 2370428336 is an apocalyptic number.

370428336 is a gapful number since it is divisible by the number (36) 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 370428336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538090560).

370428336 is an abundant number, since it is smaller than the sum of its proper divisors (705752784).

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

370428336 is a wasteful number, since it uses less digits than its factorization.

370428336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10431 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 370428336 is about 19246.5149053017. The cubic root of 370428336 is about 718.1823596719.

The spelling of 370428336 in words is "three hundred seventy million, four hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1328 1494 1992 2241 2988 3984 4482 5976 8964 10331 11952 17928 20662 30993 35856 41324 61986 82648 92979 123972 165296 185958 247944 278937 371916 495888 557874 743832 857473 1115748 1487664 1714946 2231496 2572419 3429892 4462992 5144838 6859784 7717257 10289676 13719568 15434514 20579352 23151771 30869028 41158704 46303542 61738056 92607084 123476112 185214168 370428336