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3401341160 = 235725148397
BaseRepresentation
bin1100101010111100…
…0101100011101000
322210001020000220112
43022233011203220
523431220404120
61321302313452
7150200631350
oct31257054350
98701200815
103401341160
111495a71a58
127ab128888
134228a5409
14243a39b60
1514d91ebc5
hexcabc58e8

3401341160 has 64 divisors (see below), whose sum is σ = 8781333120. Its totient is φ = 1161504000.

The previous prime is 3401341103. The next prime is 3401341171. The reversal of 3401341160 is 611431043.

3401341160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 46082 + ... + 94478.

It is an arithmetic number, because the mean of its divisors is an integer number (137208330).

Almost surely, 23401341160 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 3401341160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390666560).

3401341160 is an abundant number, since it is smaller than the sum of its proper divisors (5379991960).

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

3401341160 is a wasteful number, since it uses less digits than its factorization.

3401341160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48666 (or 48662 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3401341160 is about 58321.0181666953. The cubic root of 3401341160 is about 1503.8922854143.

The spelling of 3401341160 in words is "three billion, four hundred one million, three hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 251 280 502 1004 1255 1757 2008 2510 3514 5020 7028 8785 10040 14056 17570 35140 48397 70280 96794 193588 241985 338779 387176 483970 677558 967940 1355116 1693895 1935880 2710232 3387790 6775580 12147647 13551160 24295294 48590588 60738235 85033529 97181176 121476470 170067058 242952940 340134116 425167645 485905880 680268232 850335290 1700670580 3401341160