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1252344340 = 2251319793209
BaseRepresentation
bin100101010100101…
…0100001000010100
310020021111200110201
41022221110020110
510031100004330
6324134030244
743014515452
oct11251241024
93207450421
101252344340
11592a08925
122ab4a8384
1316c5c0970
14bc4779d2
1574e29eca
hex4aa54214

1252344340 has 96 divisors (see below), whose sum is σ = 3019968000. Its totient is φ = 432387072.

The previous prime is 1252344329. The next prime is 1252344377. The reversal of 1252344340 is 434432521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1252344299 and 1252344308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388656 + ... + 391864.

It is an arithmetic number, because the mean of its divisors is an integer number (31458000).

Almost surely, 21252344340 is an apocalyptic number.

1252344340 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 1252344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509984000).

1252344340 is an abundant number, since it is smaller than the sum of its proper divisors (1767623660).

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

1252344340 is a wasteful number, since it uses less digits than its factorization.

1252344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 1252344340 is about 35388.4775032778. The cubic root of 1252344340 is about 1077.8903547770.

Adding to 1252344340 its reverse (434432521), we get a palindrome (1686776861).

The spelling of 1252344340 in words is "one billion, two hundred fifty-two million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 79 95 130 158 190 247 260 316 380 395 494 790 988 1027 1235 1501 1580 2054 2470 3002 3209 4108 4940 5135 6004 6418 7505 10270 12836 15010 16045 19513 20540 30020 32090 39026 41717 60971 64180 78052 83434 97565 121942 166868 195130 208585 243884 253511 304855 390260 417170 507022 609710 792623 834340 1014044 1219420 1267555 1585246 2535110 3170492 3295643 3963115 4816709 5070220 6591286 7926230 9633418 13182572 15852460 16478215 19266836 24083545 32956430 48167090 62617217 65912860 96334180 125234434 250468868 313086085 626172170 1252344340