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1328037144 = 233717464999
BaseRepresentation
bin100111100101000…
…0011110100011000
310102112221021110220
41033022003310120
510204434142034
6335440240040
744624062260
oct11712036430
93375837426
101328037144
11621707a65
12310910020
131821a36c5
14c853c7a0
157b8cc749
hex4f283d18

1328037144 has 64 divisors (see below), whose sum is σ = 4017600000. Its totient is φ = 357118464.

The previous prime is 1328037071. The next prime is 1328037157. The reversal of 1328037144 is 4417308231.

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, 229644 + ... + 235355.

It is an arithmetic number, because the mean of its divisors is an integer number (62775000).

Almost surely, 21328037144 is an apocalyptic number.

1328037144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1328037144 is an abundant number, since it is smaller than the sum of its proper divisors (2689562856).

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

1328037144 is a wasteful number, since it uses less digits than its factorization.

1328037144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465032 (or 465028 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1328037144 is about 36442.2439484728. The cubic root of 1328037144 is about 1099.1831798350.

The spelling of 1328037144 in words is "one billion, three hundred twenty-eight million, thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 464999 929998 1394997 1859996 2789994 3254993 3719992 5579988 6509986 7904983 9764979 11159976 13019972 15809966 19529958 23714949 26039944 31619932 39059916 47429898 55334881 63239864 78119832 94859796 110669762 166004643 189719592 221339524 332009286 442679048 664018572 1328037144