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34243030400 = 275210700947
BaseRepresentation
bin11111111001000010…
…110010110110000000
310021101110022011212012
4133321002302312000
51030112203433100
623421522552052
72321400645605
oct377102626600
9107343264765
1034243030400
1113582330627
126777b08628
1332c9458a87
14192bb826ac
15d563a8135
hex7f90b2d80

34243030400 has 48 divisors (see below), whose sum is σ = 84590993940. Its totient is φ = 13697210880.

The previous prime is 34243030397. The next prime is 34243030403. The reversal of 34243030400 is 403034243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34243030397) and next prime (34243030403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34243030403) 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 5 ways as a sum of consecutive naturals, for example, 5347274 + ... + 5353673.

Almost surely, 234243030400 is an apocalyptic number.

It is an amenable number.

34243030400 is an abundant number, since it is smaller than the sum of its proper divisors (50347963540).

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

34243030400 is a wasteful number, since it uses less digits than its factorization.

34243030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700971 (or 10700954 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 34243030400 its reverse (403034243), we get a palindrome (34646064643).

The spelling of 34243030400 in words is "thirty-four billion, two hundred forty-three million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 10700947 21401894 42803788 53504735 85607576 107009470 171215152 214018940 267523675 342430304 428037880 535047350 684860608 856075760 1070094700 1369721216 1712151520 2140189400 3424303040 4280378800 6848606080 8560757600 17121515200 34243030400