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3299364792 = 233341379983
BaseRepresentation
bin1100010010101000…
…0100111110111000
322111221100002122000
43010222010332320
523224114133132
61303220501000
7144522065223
oct30452047670
98457302560
103299364792
111443450669
12780b4a760
1340771c179
142342925ba
151449c987c
hexc4a84fb8

3299364792 has 128 divisors (see below), whose sum is σ = 9422784000. Its totient is φ = 1069044480.

The previous prime is 3299364787. The next prime is 3299364799. The reversal of 3299364792 is 2974639923.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299364799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3355933 + ... + 3356915.

It is an arithmetic number, because the mean of its divisors is an integer number (73615500).

Almost surely, 23299364792 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 3299364792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711392000).

3299364792 is an abundant number, since it is smaller than the sum of its proper divisors (6123419208).

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

3299364792 is a wasteful number, since it uses less digits than its factorization.

3299364792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1408 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 3299364792 is about 57440.0974233157. The cubic root of 3299364792 is about 1488.7100214505.

The spelling of 3299364792 in words is "three billion, two hundred ninety-nine million, three hundred sixty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 379 492 738 758 983 984 1107 1137 1476 1516 1966 2214 2274 2949 2952 3032 3411 3932 4428 4548 5898 6822 7864 8847 8856 9096 10233 11796 13644 15539 17694 20466 23592 26541 27288 31078 35388 40303 40932 46617 53082 62156 70776 80606 81864 93234 106164 120909 124312 139851 161212 186468 212328 241818 279702 322424 362727 372557 372936 419553 483636 559404 725454 745114 839106 967272 1088181 1117671 1118808 1450908 1490228 1678212 2176362 2235342 2901816 2980456 3353013 3356424 4352724 4470684 6706026 8705448 8941368 10059039 13412052 15274837 20118078 26824104 30549674 40236156 45824511 61099348 80472312 91649022 122198696 137473533 183298044 274947066 366596088 412420599 549894132 824841198 1099788264 1649682396 3299364792