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1342322320 = 2452331101233
BaseRepresentation
bin101000000000010…
…0011011010010000
310110112211001001111
41100000203122100
510222113303240
6341110343104
745156360103
oct12000433220
93415731044
101342322320
11629784699
1231565aa94
13185135881
14ca3ba73a
157cca01ea
hex50023690

1342322320 has 160 divisors (see below), whose sum is σ = 3409496064. Its totient is φ = 489984000.

The previous prime is 1342322269. The next prime is 1342322323. The reversal of 1342322320 is 232232431.

It is a junction number, because it is equal to n+sod(n) for n = 1342322291 and 1342322300.

It is not an unprimeable number, because it can be changed into a prime (1342322323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5760924 + ... + 5761156.

Almost surely, 21342322320 is an apocalyptic number.

1342322320 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 1342322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704748032).

1342322320 is an abundant number, since it is smaller than the sum of its proper divisors (2067173744).

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

1342322320 is a wasteful number, since it uses less digits than its factorization.

1342322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1342322320 is about 36637.7171777937. The cubic root of 1342322320 is about 1103.1102936511.

Adding to 1342322320 its reverse (232232431), we get a palindrome (1574554751).

The spelling of 1342322320 in words is "one billion, three hundred forty-two million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 101 115 124 155 184 202 230 233 248 310 368 404 460 466 496 505 620 713 808 920 932 1010 1165 1240 1426 1616 1840 1864 2020 2323 2330 2480 2852 3131 3565 3728 4040 4646 4660 5359 5704 6262 7130 7223 8080 9292 9320 10718 11408 11615 12524 14260 14446 15655 18584 18640 21436 23230 23533 25048 26795 28520 28892 31310 36115 37168 42872 46460 47066 50096 53590 57040 57784 62620 72013 72230 85744 92920 94132 107180 115568 117665 125240 144026 144460 166129 185840 188264 214360 235330 250480 288052 288920 332258 360065 376528 428720 470660 541259 576104 577840 664516 720130 729523 830645 941320 1082518 1152208 1329032 1440260 1459046 1661290 1882640 2165036 2658064 2706295 2880520 2918092 3322580 3647615 4330072 5412590 5761040 5836184 6645160 7295230 8660144 10825180 11672368 13290320 14590460 16779029 21650360 29180920 33558058 43300720 58361840 67116116 83895145 134232232 167790290 268464464 335580580 671161160 1342322320