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1628340756 = 223724758921
BaseRepresentation
bin110000100001110…
…1000001000010100
311012111000021120220
41201003220020110
511313323401011
6425324554340
755231445100
oct14103501024
94174007526
101628340756
11766179569
123953b29b0
131cc479753
14116390900
1597e4b506
hex610e8214

1628340756 has 72 divisors (see below), whose sum is σ = 4513896576. Its totient is φ = 455333760.

The previous prime is 1628340743. The next prime is 1628340757. The reversal of 1628340756 is 6570438261.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628340757) 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, 1825 + ... + 57096.

It is an arithmetic number, because the mean of its divisors is an integer number (62693008).

Almost surely, 21628340756 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 1628340756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256948288).

1628340756 is an abundant number, since it is smaller than the sum of its proper divisors (2885555820).

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

1628340756 is a wasteful number, since it uses less digits than its factorization.

1628340756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58989 (or 58980 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 1628340756 is about 40352.7044446838. The cubic root of 1628340756 is about 1176.4724575572.

The spelling of 1628340756 in words is "one billion, six hundred twenty-eight million, three hundred forty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 564 588 658 987 1316 1974 2303 3948 4606 6909 9212 13818 27636 58921 117842 176763 235684 353526 412447 707052 824894 1237341 1649788 2474682 2769287 2887129 4949364 5538574 5774258 8307861 8661387 11077148 11548516 16615722 17322774 19385009 33231444 34645548 38770018 58155027 77540036 116310054 135695063 232620108 271390126 407085189 542780252 814170378 1628340756