Search a number
-
+
34781403780 = 22335371740811
BaseRepresentation
bin100000011001001000…
…100001101010000100
310022202222100101022000
4200121020201222010
51032213014410110
623551154105300
72340626024364
oct403110415204
9108688311260
1034781403780
1113829217502
1268a827b230
133383b581c6
14197d4869a4
15d887a11c0
hex819221a84

34781403780 has 96 divisors (see below), whose sum is σ = 111133438080. Its totient is φ = 9024359040.

The previous prime is 34781403773. The next prime is 34781403823. The reversal of 34781403780 is 8730418743.

34781403780 is a `hidden beast` number, since 3 + 478 + 140 + 37 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850426 + ... + 890385.

It is an arithmetic number, because the mean of its divisors is an integer number (1157639980).

Almost surely, 234781403780 is an apocalyptic number.

34781403780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34781403780 is an abundant number, since it is smaller than the sum of its proper divisors (76352034300).

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

34781403780 is a wasteful number, since it uses less digits than its factorization.

34781403780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740866 (or 1740858 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 34781403780 in words is "thirty-four billion, seven hundred eighty-one million, four hundred three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 9990 19980 1740811 3481622 5222433 6963244 8704055 10444866 15667299 17408110 20889732 26112165 31334598 34816220 47001897 52224330 62669196 64410007 78336495 94003794 104448660 128820014 156672990 188007588 193230021 235009485 257640028 313345980 322050035 386460042 470018970 579690063 644100070 772920084 940037940 966150105 1159380126 1288200140 1739070189 1932300210 2318760252 2898450315 3478140378 3864600420 5796900630 6956280756 8695350945 11593801260 17390701890 34781403780