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1342032320 = 265191032143
BaseRepresentation
bin100111111111101…
…1100100111000000
310110112021022020202
41033333130213000
510222030013240
6341100224332
745154041446
oct11777344700
93415238222
101342032320
116295a6822
1231553b0a8
13185063885
14ca342b96
157cc44315
hex4ffdc9c0

1342032320 has 112 divisors (see below), whose sum is σ = 3398154240. Its totient is φ = 503387136.

The previous prime is 1342032317. The next prime is 1342032337. The reversal of 1342032320 is 232302431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1342032292 and 1342032301.

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, 625169 + ... + 627311.

Almost surely, 21342032320 is an apocalyptic number.

1342032320 is a gapful number since it is divisible by the number (10) 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 1342032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699077120).

1342032320 is an abundant number, since it is smaller than the sum of its proper divisors (2056121920).

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

1342032320 is a wasteful number, since it uses less digits than its factorization.

1342032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1342032320 is about 36633.7592938535. The cubic root of 1342032320 is about 1103.0308479967.

Adding to 1342032320 its reverse (232302431), we get a palindrome (1574334751).

The spelling of 1342032320 in words is "one billion, three hundred forty-two million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 103 152 160 190 206 304 320 380 412 515 608 760 824 1030 1216 1520 1648 1957 2060 2143 3040 3296 3914 4120 4286 6080 6592 7828 8240 8572 9785 10715 15656 16480 17144 19570 21430 31312 32960 34288 39140 40717 42860 62624 68576 78280 81434 85720 125248 137152 156560 162868 171440 203585 220729 313120 325736 342880 407170 441458 626240 651472 685760 814340 882916 1103645 1302944 1628680 1765832 2207290 2605888 3257360 3531664 4193851 4414580 6514720 7063328 8387702 8829160 13029440 14126656 16775404 17658320 20969255 33550808 35316640 41938510 67101616 70633280 83877020 134203232 167754040 268406464 335508080 671016160 1342032320