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3044088672 = 253791992017
BaseRepresentation
bin1011010101110001…
…0001101101100000
321212010222201121220
42311130101231200
522213241314142
61222021215040
7135302220042
oct26534215540
97763881556
103044088672
111322343969
1270b561480
13396880101
1420c401a92
1512c3a22ec
hexb5711b60

3044088672 has 96 divisors (see below), whose sum is σ = 8136576000. Its totient is φ = 996323328.

The previous prime is 3044088647. The next prime is 3044088683. The reversal of 3044088672 is 2768804403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508208 + ... + 1510224.

It is an arithmetic number, because the mean of its divisors is an integer number (84756000).

Almost surely, 23044088672 is an apocalyptic number.

3044088672 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 3044088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068288000).

3044088672 is an abundant number, since it is smaller than the sum of its proper divisors (5092487328).

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

3044088672 is a wasteful number, since it uses less digits than its factorization.

3044088672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3044088672 is about 55173.2604800550. The cubic root of 3044088672 is about 1449.2804471078.

The spelling of 3044088672 in words is "three billion, forty-four million, eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 199 237 316 398 474 597 632 796 948 1194 1264 1592 1896 2017 2388 2528 3184 3792 4034 4776 6051 6368 7584 8068 9552 12102 15721 16136 19104 24204 31442 32272 47163 48408 62884 64544 94326 96816 125768 159343 188652 193632 251536 318686 377304 401383 478029 503072 637372 754608 802766 956058 1204149 1274744 1509216 1605532 1912116 2408298 2549488 3211064 3824232 4816596 5098976 6422128 7648464 9633192 12844256 15296928 19266384 31709257 38532768 63418514 95127771 126837028 190255542 253674056 380511084 507348112 761022168 1014696224 1522044336 3044088672