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3020968848 = 24331279829
BaseRepresentation
bin1011010000010000…
…0101001110010000
321210112111010012010
42310010011032100
522141332000343
61215433502520
7134601545232
oct26404051620
97715433163
103020968848
111310292677
12703871a40
13391b46941
14209304252
1512a336d33
hexb4105390

3020968848 has 120 divisors (see below), whose sum is σ = 8175964800. Its totient is φ = 961009920.

The previous prime is 3020968807. The next prime is 3020968877. The reversal of 3020968848 is 8488690203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3020968797 and 3020968806.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3643698 + ... + 3644526.

It is an arithmetic number, because the mean of its divisors is an integer number (68133040).

Almost surely, 23020968848 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 3020968848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087982400).

3020968848 is an abundant number, since it is smaller than the sum of its proper divisors (5154995952).

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

3020968848 is a wasteful number, since it uses less digits than its factorization.

3020968848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 3020968848 is about 54963.3409464891. The cubic root of 3020968848 is about 1445.6020284897.

The spelling of 3020968848 in words is "three billion, twenty million, nine hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 124 158 186 237 248 316 372 474 496 632 744 829 948 961 1264 1488 1658 1896 1922 2449 2487 2883 3316 3792 3844 4898 4974 5766 6632 7347 7688 9796 9948 11532 13264 14694 15376 19592 19896 23064 25699 29388 39184 39792 46128 51398 58776 65491 75919 77097 102796 117552 130982 151838 154194 196473 205592 227757 261964 303676 308388 392946 411184 455514 523928 607352 616776 785892 796669 911028 1047856 1214704 1233552 1571784 1593338 1822056 2030221 2390007 3143568 3186676 3644112 4060442 4780014 6090663 6373352 8120884 9560028 12181326 12746704 16241768 19120056 24362652 32483536 38240112 48725304 62936851 97450608 125873702 188810553 251747404 377621106 503494808 755242212 1006989616 1510484424 3020968848