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380353536 = 2103313757
BaseRepresentation
bin10110101010111…
…011110000000000
3222111200221222000
4112222323300000
51234332303121
6101424144000
712265644303
oct2652736000
9874627860
10380353536
11185777272
12a7468000
1360a53084
143872cb3a
15235d2526
hex16abbc00

380353536 has 88 divisors (see below), whose sum is σ = 1126505040. Its totient is φ = 126775296.

The previous prime is 380353513. The next prime is 380353541. The reversal of 380353536 is 635353083.

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 380353536.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20770 + ... + 34526.

Almost surely, 2380353536 is an apocalyptic number.

380353536 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 380353536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563252520).

380353536 is an abundant number, since it is smaller than the sum of its proper divisors (746151504).

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

380353536 is a wasteful number, since it uses less digits than its factorization.

380353536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13786 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 380353536 is about 19502.6545885426. The cubic root of 380353536 is about 724.5401989792.

The spelling of 380353536 in words is "three hundred eighty million, three hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13757 13824 27514 27648 41271 55028 82542 110056 123813 165084 220112 247626 330168 371439 440224 495252 660336 742878 880448 990504 1320672 1485756 1760896 1981008 2641344 2971512 3521792 3962016 5282688 5943024 7043584 7924032 10565376 11886048 14087168 15848064 21130752 23772096 31696128 42261504 47544192 63392256 95088384 126784512 190176768 380353536