Search a number
-
+
369968364 = 223319717389
BaseRepresentation
bin10110000011010…
…100010011101100
3221210011100012000
4112003110103230
51224202441424
6100413412300
712111451653
oct2603242354
9853140160
10369968364
1117a923787
12a3a9a090
135b8580bc
14371c819a
15227303c9
hex160d44ec

369968364 has 48 divisors (see below), whose sum is σ = 964101600. Its totient is φ = 122689728.

The previous prime is 369968359. The next prime is 369968393. The reversal of 369968364 is 463869963.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 369968364.

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 15 ways as a sum of consecutive naturals, for example, 12582 + ... + 29970.

It is an arithmetic number, because the mean of its divisors is an integer number (20085450).

Almost surely, 2369968364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369968364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482050800).

369968364 is an abundant number, since it is smaller than the sum of its proper divisors (594133236).

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

369968364 is a wasteful number, since it uses less digits than its factorization.

369968364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17599 (or 17591 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 369968364 is about 19234.5617054301. The cubic root of 369968364 is about 717.8849736720.

The spelling of 369968364 in words is "three hundred sixty-nine million, nine hundred sixty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 788 1182 1773 2364 3546 5319 7092 10638 17389 21276 34778 52167 69556 104334 156501 208668 313002 469503 626004 939006 1878012 3425633 6851266 10276899 13702532 20553798 30830697 41107596 61661394 92492091 123322788 184984182 369968364