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1384033680 = 243251922269
BaseRepresentation
bin101001001111110…
…1010110110010000
310120110022012021200
41102133222312100
510313303034210
6345200351200
746204043421
oct12237526620
93513265250
101384033680
11650283a97
12327615500
1319097b353
14d1b57648
158178e0c0
hex527ead90

1384033680 has 60 divisors (see below), whose sum is σ = 4648048860. Its totient is φ = 369075456.

The previous prime is 1384033669. The next prime is 1384033727. The reversal of 1384033680 is 863304831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 919544976 + 464488704 = 30324^2 + 21552^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 960415 + ... + 961854.

It is an arithmetic number, because the mean of its divisors is an integer number (77467481).

Almost surely, 21384033680 is an apocalyptic number.

1384033680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1384033680 is an abundant number, since it is smaller than the sum of its proper divisors (3264015180).

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

1384033680 is a wasteful number, since it uses less digits than its factorization.

1384033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922288 (or 1922279 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1384033680 is about 37202.6031347270. The cubic root of 1384033680 is about 1114.4199708618.

The spelling of 1384033680 in words is "one billion, three hundred eighty-four million, thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1922269 3844538 5766807 7689076 9611345 11533614 15378152 17300421 19222690 23067228 28834035 30756304 34600842 38445380 46134456 57668070 69201684 76890760 86502105 92268912 115336140 138403368 153781520 173004210 230672280 276806736 346008420 461344560 692016840 1384033680