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3441337088 = 2874014789
BaseRepresentation
bin1100110100011110…
…1010001100000000
322212211111001000012
43031013222030000
524021440241323
61325251444052
7151164611510
oct31507521400
98784431005
103441337088
1115065aa542
128005b6628
1342ac6a147
1424908b840
151521c0678
hexcd1ea300

3441337088 has 72 divisors (see below), whose sum is σ = 7871771040. Its totient is φ = 1470873600.

The previous prime is 3441337061. The next prime is 3441337093. The reversal of 3441337088 is 8807331443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716198 + ... + 720986.

Almost surely, 23441337088 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 3441337088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935885520).

3441337088 is an abundant number, since it is smaller than the sum of its proper divisors (4430433952).

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

3441337088 is an equidigital number, since it uses as much as digits as its factorization.

3441337088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 3441337088 is about 58662.9106676442. The cubic root of 3441337088 is about 1509.7640214254.

The spelling of 3441337088 in words is "three billion, four hundred forty-one million, three hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 401 448 802 896 1604 1792 2807 3208 4789 5614 6416 9578 11228 12832 19156 22456 25664 33523 38312 44912 51328 67046 76624 89824 102656 134092 153248 179648 268184 306496 359296 536368 612992 718592 1072736 1225984 1920389 2145472 3840778 4290944 7681556 8581888 13442723 15363112 26885446 30726224 53770892 61452448 107541784 122904896 215083568 245809792 430167136 491619584 860334272 1720668544 3441337088