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1364252340 = 22351131131509
BaseRepresentation
bin101000101010000…
…1101011010110100
310112002002012101110
41101110031122310
510243222033330
6343212355020
745543645033
oct12124153264
93462065343
101364252340
116400a2a80
12320a75a70
13189843609
14cd28871a
157eb82db0
hex5150d6b4

1364252340 has 192 divisors, whose sum is σ = 4342947840. Its totient is φ = 316992000.

The previous prime is 1364252333. The next prime is 1364252341. The reversal of 1364252340 is 432524631.

It is a super-2 number, since 2×13642523402 = 3722368894390951200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1364252298 and 1364252307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364252341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2680006 + ... + 2680514.

It is an arithmetic number, because the mean of its divisors is an integer number (22619520).

Almost surely, 21364252340 is an apocalyptic number.

1364252340 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 1364252340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171473920).

1364252340 is an abundant number, since it is smaller than the sum of its proper divisors (2978695500).

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

1364252340 is a wasteful number, since it uses less digits than its factorization.

1364252340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 1364252340 is about 36935.7867115349. The cubic root of 1364252340 is about 1109.0851808317.

Adding to 1364252340 its reverse (432524631), we get a palindrome (1796776971).

The spelling of 1364252340 in words is "one billion, three hundred sixty-four million, two hundred fifty-two thousand, three hundred forty".