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3146825040 = 243523570077
BaseRepresentation
bin1011101110010000…
…1011110101010000
322010022022021102120
42323210023311100
522421041400130
61240131214240
7140660400012
oct27344136520
98108267376
103146825040
111375334257
12739a47380
133b1c41268
1421bd061b2
151363e7910
hexbb90bd50

3146825040 has 80 divisors (see below), whose sum is σ = 10179312768. Its totient is φ = 802667008.

The previous prime is 3146825027. The next prime is 3146825053. The reversal of 3146825040 is 405286413.

3146825040 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 an interprime number because it is at equal distance from previous prime (3146825027) and next prime (3146825053).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3146824992 and 3146825010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279519 + ... + 290558.

Almost surely, 23146825040 is an apocalyptic number.

3146825040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3146825040 is an abundant number, since it is smaller than the sum of its proper divisors (7032487728).

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

3146825040 is a wasteful number, since it uses less digits than its factorization.

3146825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570116 (or 570110 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3146825040 is about 56096.5688790322. The cubic root of 3146825040 is about 1465.4045390836.

The spelling of 3146825040 in words is "three billion, one hundred forty-six million, eight hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 570077 1140154 1710231 2280308 2850385 3420462 4560616 5700770 6840924 8551155 9121232 11401540 13111771 13681848 17102310 22803080 26223542 27363696 34204620 39335313 45606160 52447084 65558855 68409240 78670626 104894168 131117710 136818480 157341252 196676565 209788336 262235420 314682504 393353130 524470840 629365008 786706260 1048941680 1573412520 3146825040