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34313223040 = 275220324337
BaseRepresentation
bin11111111101001110…
…100011101110000000
310021120100101100001121
4133331032203232000
51030233141114130
623432511242024
72323212404065
oct377516435600
9107510340047
1034313223040
1113608a13378
126797519314
13330ab64195
141937214c6c
15d5c620d7a
hex7fd3a3b80

34313223040 has 64 divisors (see below), whose sum is σ = 82070656560. Its totient is φ = 13718495232.

The previous prime is 34313223037. The next prime is 34313223047. The reversal of 34313223040 is 4032231343.

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

It is a junction number, because it is equal to n+sod(n) for n = 34313222996 and 34313223014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34313223047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1397752 + ... + 1422088.

Almost surely, 234313223040 is an apocalyptic number.

It is an amenable number.

34313223040 is an abundant number, since it is smaller than the sum of its proper divisors (47757433520).

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

34313223040 is a wasteful number, since it uses less digits than its factorization.

34313223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26559 (or 26547 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 34313223040 its reverse (4032231343), we get a palindrome (38345454383).

The spelling of 34313223040 in words is "thirty-four billion, three hundred thirteen million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2203 4406 8812 11015 17624 22030 24337 35248 44060 48674 70496 88120 97348 121685 140992 176240 194696 243370 281984 352480 389392 486740 704960 778784 973480 1409920 1557568 1946960 3115136 3893920 7787840 15575680 53614411 107228822 214457644 268072055 428915288 536144110 857830576 1072288220 1715661152 2144576440 3431322304 4289152880 6862644608 8578305760 17156611520 34313223040