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3613494240 = 25345278819
BaseRepresentation
bin1101011101100001…
…1000101111100000
3100022211102112020000
43113120120233200
524400023303430
61354321420000
7155355123426
oct32730305740
910284375200
103613494240
1115947a5784
1284a19a600
13457826295
14263ca3116
15162379e60
hexd7618be0

3613494240 has 120 divisors (see below), whose sum is σ = 12752669160. Its totient is φ = 963595008.

The previous prime is 3613494239. The next prime is 3613494253. The reversal of 3613494240 is 424943163.

It is a happy number.

3613494240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3613494195 and 3613494204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126450 + ... + 152369.

It is an arithmetic number, because the mean of its divisors is an integer number (106272243).

Almost surely, 23613494240 is an apocalyptic number.

3613494240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3613494240 is an abundant number, since it is smaller than the sum of its proper divisors (9139174920).

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

3613494240 is a wasteful number, since it uses less digits than its factorization.

3613494240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278846 (or 278829 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3613494240 is about 60112.3468182702. The cubic root of 3613494240 is about 1534.5314332676.

The spelling of 3613494240 in words is "three billion, six hundred thirteen million, four hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 278819 557638 836457 1115276 1394095 1672914 2230552 2509371 2788190 3345828 4182285 4461104 5018742 5576380 6691656 7528113 8364570 8922208 10037484 11152760 12546855 13383312 15056226 16729140 20074968 22305520 22584339 25093710 26766624 30112452 33458280 37640565 40149936 44611040 45168678 50187420 60224904 66916560 75281130 80299872 90337356 100374840 112921695 120449808 133833120 150562260 180674712 200749680 225843390 240899616 301124520 361349424 401499360 451686780 602249040 722698848 903373560 1204498080 1806747120 3613494240