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1034681040 = 24345159673
BaseRepresentation
bin111101101010111…
…111101011010000
32200002221020120000
4331222333223100
54104334243130
6250400450000
734432433541
oct7552775320
92602836500
101034681040
114910611a8
1224a619900
13136490a03
149b5b84c8
1560c82260
hex3dabfad0

1034681040 has 100 divisors (see below), whose sum is σ = 3593623044. Its totient is φ = 275913216.

The previous prime is 1034681027. The next prime is 1034681051. The reversal of 1034681040 is 401864301.

It can be written as a sum of positive squares in 2 ways, for example, as 115863696 + 918817344 = 10764^2 + 30312^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1034680995 and 1034681013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73357 + ... + 86316.

Almost surely, 21034681040 is an apocalyptic number.

1034681040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034681040 is an abundant number, since it is smaller than the sum of its proper divisors (2558942004).

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

1034681040 is a wasteful number, since it uses less digits than its factorization.

1034681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159698 (or 159683 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1034681040 is about 32166.4583067518. The cubic root of 1034681040 is about 1011.4292218981.

The spelling of 1034681040 in words is "one billion, thirty-four million, six hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 159673 319346 479019 638692 798365 958038 1277384 1437057 1596730 1916076 2395095 2554768 2874114 3193460 3832152 4311171 4790190 5748228 6386920 7185285 7664304 8622342 9580380 11496456 12773840 12933513 14370570 17244684 19160760 21555855 22992912 25867026 28741140 34489368 38321520 43111710 51734052 57482280 64667565 68978736 86223420 103468104 114964560 129335130 172446840 206936208 258670260 344893680 517340520 1034681040