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34231245440 = 27577640903
BaseRepresentation
bin11111111000010101…
…110101101010000000
310021100122010102221012
4133320111311222000
51030101144323230
623420422220052
72321165533250
oct377025655200
9107318112835
1034231245440
1113576711397
126773b84628
1332c6b90922
14192a395960
15d5532b395
hex7f8575a80

34231245440 has 64 divisors (see below), whose sum is σ = 93524664960. Its totient is φ = 11736425472.

The previous prime is 34231245421. The next prime is 34231245479. The reversal of 34231245440 is 4454213243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 34231245397 and 34231245406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3815972 + ... + 3824931.

It is an arithmetic number, because the mean of its divisors is an integer number (1461322890).

Almost surely, 234231245440 is an apocalyptic number.

It is an amenable number.

34231245440 is an abundant number, since it is smaller than the sum of its proper divisors (59293419520).

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

34231245440 is an equidigital number, since it uses as much as digits as its factorization.

34231245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7640929 (or 7640917 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 34231245440 its reverse (4454213243), we get a palindrome (38685458683).

The spelling of 34231245440 in words is "thirty-four billion, two hundred thirty-one million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 7640903 15281806 30563612 38204515 53486321 61127224 76409030 106972642 122254448 152818060 213945284 244508896 267431605 305636120 427890568 489017792 534863210 611272240 855781136 978035584 1069726420 1222544480 1711562272 2139452840 2445088960 3423124544 4278905680 4890177920 6846249088 8557811360 17115622720 34231245440