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3319939872 = 2535439929
BaseRepresentation
bin1100010111100010…
…0100001100100000
322120101001102100000
43011320210030200
523244401033442
61305233500000
7145162010664
oct30570441440
98511042300
103319939872
111454023a67
12787a11600
1340ba74282
14236cca8a4
151466e0d4c
hexc5e24320

3319939872 has 144 divisors (see below), whose sum is σ = 10019449440. Its totient is φ = 1080801792.

The previous prime is 3319939867. The next prime is 3319939879. The reversal of 3319939872 is 2789399133.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33199398722 = 22044001507390752768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3319939879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329404 + ... + 339332.

It is an arithmetic number, because the mean of its divisors is an integer number (69579510).

Almost surely, 23319939872 is an apocalyptic number.

3319939872 is a gapful number since it is divisible by the number (32) 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 3319939872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009724720).

3319939872 is an abundant number, since it is smaller than the sum of its proper divisors (6699509568).

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

3319939872 is an equidigital number, since it uses as much as digits as its factorization.

3319939872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9997 (or 9977 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 3319939872 is about 57618.9193928522. The cubic root of 3319939872 is about 1491.7981791619.

The spelling of 3319939872 in words is "three billion, three hundred nineteen million, nine hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 243 258 288 324 344 387 432 486 516 648 688 774 864 972 1032 1161 1296 1376 1548 1944 2064 2322 2592 3096 3483 3888 4128 4644 6192 6966 7776 9288 9929 10449 12384 13932 18576 19858 20898 27864 29787 37152 39716 41796 55728 59574 79432 83592 89361 111456 119148 158864 167184 178722 238296 268083 317728 334368 357444 426947 476592 536166 714888 804249 853894 953184 1072332 1280841 1429776 1608498 1707788 2144664 2412747 2561682 2859552 3216996 3415576 3842523 4289328 4825494 5123364 6433992 6831152 7685046 8578656 9650988 10246728 11527569 12867984 13662304 15370092 19301976 20493456 23055138 25735968 30740184 34582707 38603952 40986912 46110276 61480368 69165414 77207904 92220552 103748121 122960736 138330828 184441104 207496242 276661656 368882208 414992484 553323312 829984968 1106646624 1659969936 3319939872