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342524625400 = 235210357728817
BaseRepresentation
bin1001111110000000000…
…11110000000111111000
31012202010010111211020001
410333000003300013320
521102442301003100
6421204215242344
733514036164136
oct4770003600770
91182103454201
10342524625400
1112229a248811
12564729793b4
13263b8c53149
1412814b30756
158d9ab37d6a
hex4fc00f01f8

342524625400 has 96 divisors (see below), whose sum is σ = 805523041440. Its totient is φ = 135439810560.

The previous prime is 342524625379. The next prime is 342524625403. The reversal of 342524625400 is 4526425243.

It is a self number, because there is not a number n which added to its sum of digits gives 342524625400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342524625403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11871792 + ... + 11900608.

It is an arithmetic number, because the mean of its divisors is an integer number (8390865015).

Almost surely, 2342524625400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342524625400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402761520720).

342524625400 is an abundant number, since it is smaller than the sum of its proper divisors (462998416040).

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

342524625400 is a wasteful number, since it uses less digits than its factorization.

342524625400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29513 (or 29504 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

The spelling of 342524625400 in words is "three hundred forty-two billion, five hundred twenty-four million, six hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 577 824 1030 1154 2060 2308 2575 2885 4120 4616 5150 5770 10300 11540 14425 20600 23080 28817 28850 57634 57700 59431 115268 115400 118862 144085 230536 237724 288170 297155 475448 576340 594310 720425 1152680 1188620 1440850 1485775 2377240 2881700 2968151 2971550 5763400 5936302 5943100 11872604 11886200 14840755 16627409 23745208 29681510 33254818 59363020 66509636 74203775 83137045 118726040 133019272 148407550 166274090 296815100 332548180 415685225 593630200 665096360 831370450 1662740900 1712623127 3325481800 3425246254 6850492508 8563115635 13700985016 17126231270 34252462540 42815578175 68504925080 85631156350 171262312700 342524625400