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1340414320 = 24577332789
BaseRepresentation
bin100111111100101…
…0001100101110000
310110102020002202211
41033321101211300
510221121224240
6341001421504
745134222320
oct11771214560
93412202684
101340414320
116286a1133
12314a9a894
1318491828b
14ca041280
157ca24bea
hex4fe51970

1340414320 has 80 divisors (see below), whose sum is σ = 3610572480. Its totient is φ = 453261312.

The previous prime is 1340414303. The next prime is 1340414321. The reversal of 1340414320 is 234140431.

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

It is a super-2 number, since 2×13404143202 = 3593421098522124800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1340414291 and 1340414300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340414321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24486 + ... + 57274.

It is an arithmetic number, because the mean of its divisors is an integer number (45132156).

Almost surely, 21340414320 is an apocalyptic number.

1340414320 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 1340414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805286240).

1340414320 is an abundant number, since it is smaller than the sum of its proper divisors (2270158160).

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

1340414320 is a wasteful number, since it uses less digits than its factorization.

1340414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32882 (or 32876 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1340414320 is about 36611.6691780094. The cubic root of 1340414320 is about 1102.5873858436.

Adding to 1340414320 its reverse (234140431), we get a palindrome (1574554751).

The spelling of 1340414320 in words is "one billion, three hundred forty million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 511 560 584 730 1022 1168 1460 2044 2555 2920 4088 5110 5840 8176 10220 20440 32789 40880 65578 131156 163945 229523 262312 327890 459046 524624 655780 918092 1147615 1311560 1836184 2295230 2393597 2623120 3672368 4590460 4787194 9180920 9574388 11967985 16755179 18361840 19148776 23935970 33510358 38297552 47871940 67020716 83775895 95743880 134041432 167551790 191487760 268082864 335103580 670207160 1340414320