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1342010320 = 24572938179
BaseRepresentation
bin100111111111101…
…0111001111010000
310110112020012001221
41033333113033100
510222023312240
6341055534424
745153620350
oct11777271720
93415205057
101342010320
11629591242
1231552a414
13185056861
14ca338b60
157cc3ca4a
hex4ffd73d0

1342010320 has 80 divisors (see below), whose sum is σ = 3578520960. Its totient is φ = 458491392.

The previous prime is 1342010291. The next prime is 1342010407. The reversal of 1342010320 is 230102431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1342010294 and 1342010303.

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, 159991 + ... + 168169.

It is an arithmetic number, because the mean of its divisors is an integer number (44731512).

Almost surely, 21342010320 is an apocalyptic number.

1342010320 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 1342010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789260480).

1342010320 is an abundant number, since it is smaller than the sum of its proper divisors (2236510640).

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

1342010320 is a wasteful number, since it uses less digits than its factorization.

1342010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1342010320 is about 36633.4590231389. The cubic root of 1342010320 is about 1103.0248206179.

Adding to 1342010320 its reverse (230102431), we get a palindrome (1572112751).

The spelling of 1342010320 in words is "one billion, three hundred forty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 293 560 586 1172 1465 2051 2344 2930 4102 4688 5860 8179 8204 10255 11720 16358 16408 20510 23440 32716 32816 40895 41020 57253 65432 81790 82040 114506 130864 163580 164080 229012 286265 327160 458024 572530 654320 916048 1145060 2290120 2396447 4580240 4792894 9585788 11982235 16775129 19171576 23964470 33550258 38343152 47928940 67100516 83875645 95857880 134201032 167751290 191715760 268402064 335502580 671005160 1342010320