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34324140400 = 2452117800941
BaseRepresentation
bin11111111101111000…
…001101000101110000
310021121002220222212021
4133331320031011300
51030243434443100
623433541241224
72323404244114
oct377570150560
9107532828767
1034324140400
111361409a790
12679b103214
1333101b7464
141938857744
15d5d57aa1a
hex7fde0d170

34324140400 has 60 divisors (see below), whose sum is σ = 89960463144. Its totient is φ = 12481504000.

The previous prime is 34324140371. The next prime is 34324140407. The reversal of 34324140400 is 404142343.

It is a super-2 number, since 2×343241404002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324140407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3896071 + ... + 3904870.

Almost surely, 234324140400 is an apocalyptic number.

It is an amenable number.

34324140400 is an abundant number, since it is smaller than the sum of its proper divisors (55636322744).

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

34324140400 is a wasteful number, since it uses less digits than its factorization.

34324140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800970 (or 7800959 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34324140400 its reverse (404142343), we get a palindrome (34728282743).

It can be divided in two parts, 34324 and 140400, that added together give a square (174724 = 4182).

The spelling of 34324140400 in words is "thirty-four billion, three hundred twenty-four million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 7800941 15601882 31203764 39004705 62407528 78009410 85810351 124815056 156018820 171620702 195023525 312037640 343241404 390047050 429051755 624075280 686482808 780094100 858103510 1372965616 1560188200 1716207020 2145258775 3120376400 3432414040 4290517550 6864828080 8581035100 17162070200 34324140400