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694440540 = 22355433323
BaseRepresentation
bin101001011001000…
…101001001011100
31210101201020100000
4221121011021130
52410234044130
6152524134300
723131434663
oct5131051134
91711636300
10694440540
11326aa2502
12174697390
13b0b43a81
146832bdda
1540e75260
hex2964525c

694440540 has 144 divisors (see below), whose sum is σ = 2235961728. Its totient is φ = 180823104.

The previous prime is 694440521. The next prime is 694440547. The reversal of 694440540 is 45044496.

694440540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 694440495 and 694440504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (694440547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207319 + ... + 210641.

It is an arithmetic number, because the mean of its divisors is an integer number (15527512).

Almost surely, 2694440540 is an apocalyptic number.

694440540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 694440540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117980864).

694440540 is an abundant number, since it is smaller than the sum of its proper divisors (1541521188).

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

694440540 is a wasteful number, since it uses less digits than its factorization.

694440540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 694440540 is about 26352.2397530077. The cubic root of 694440540 is about 885.5471480125.

The spelling of 694440540 in words is "six hundred ninety-four million, four hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 243 258 270 324 387 405 430 486 516 540 645 774 810 860 972 1161 1215 1290 1548 1620 1935 2322 2430 2580 3323 3483 3870 4644 4860 5805 6646 6966 7740 9969 10449 11610 13292 13932 16615 17415 19938 20898 23220 29907 33230 34830 39876 41796 49845 52245 59814 66460 69660 89721 99690 104490 119628 142889 149535 179442 199380 208980 269163 285778 299070 358884 428667 448605 538326 571556 598140 714445 807489 857334 897210 1076652 1286001 1345815 1428890 1614978 1714668 1794420 2143335 2572002 2691630 2857780 3229956 3858003 4037445 4286670 5144004 5383260 6430005 7716006 8074890 8573340 11574009 12860010 15432012 16149780 19290015 23148018 25720020 34722027 38580030 46296036 57870045 69444054 77160060 115740090 138888108 173610135 231480180 347220270 694440540