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1346981664 = 25372298753
BaseRepresentation
bin101000001001001…
…0100111100100000
310110212120202110210
41100102110330200
510224311403124
6341354254120
745244104150
oct12022247440
93425522423
101346981664
11631377296
12317127340
131860a7592
14cac70760
157d3c0a29
hex50494f20

1346981664 has 96 divisors (see below), whose sum is σ = 4059054720. Its totient is φ = 383127552.

The previous prime is 1346981663. The next prime is 1346981681. The reversal of 1346981664 is 4661896431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1346981663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149512 + ... + 158264.

It is an arithmetic number, because the mean of its divisors is an integer number (42281820).

Almost surely, 21346981664 is an apocalyptic number.

1346981664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029527360).

1346981664 is an abundant number, since it is smaller than the sum of its proper divisors (2712073056).

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

1346981664 is a wasteful number, since it uses less digits than its factorization.

1346981664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9002 (or 8994 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 1346981664 is about 36701.2488070910. The cubic root of 1346981664 is about 1104.3851575681.

The spelling of 1346981664 in words is "one billion, three hundred forty-six million, nine hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 229 336 458 672 687 916 1374 1603 1832 2748 3206 3664 4809 5496 6412 7328 8753 9618 10992 12824 17506 19236 21984 25648 26259 35012 38472 51296 52518 61271 70024 76944 105036 122542 140048 153888 183813 210072 245084 280096 367626 420144 490168 735252 840288 980336 1470504 1960672 2004437 2941008 4008874 5882016 6013311 8017748 12026622 14031059 16035496 24053244 28062118 32070992 42093177 48106488 56124236 64141984 84186354 96212976 112248472 168372708 192425952 224496944 336745416 448993888 673490832 1346981664