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1034429400 = 233352191561
BaseRepresentation
bin111101101010000…
…010001111011000
32200002110110101000
4331222002033120
54104303220100
6250351225000
734430335104
oct7552021730
92602413330
101034429400
114909aa134
1224a518160
13136403304
149b550904
1560c32900
hex3da823d8

1034429400 has 96 divisors (see below), whose sum is σ = 3563053200. Its totient is φ = 275846400.

The previous prime is 1034429381. The next prime is 1034429401. The reversal of 1034429400 is 49244301.

1034429400 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034429401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90381 + ... + 101180.

Almost surely, 21034429400 is an apocalyptic number.

1034429400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034429400 is an abundant number, since it is smaller than the sum of its proper divisors (2528623800).

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

1034429400 is a wasteful number, since it uses less digits than its factorization.

1034429400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191586 (or 191571 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1034429400 is about 32162.5465409690. The cubic root of 1034429400 is about 1011.3472202391.

The spelling of 1034429400 in words is "one billion, thirty-four million, four hundred twenty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 191561 383122 574683 766244 957805 1149366 1532488 1724049 1915610 2298732 2873415 3448098 3831220 4597464 4789025 5172147 5746830 6896196 7662440 8620245 9578050 10344294 11493660 13792392 14367075 17240490 19156100 20688588 22987320 25860735 28734150 34480980 38312200 41377176 43101225 51721470 57468300 68961960 86202450 103442940 114936600 129303675 172404900 206885880 258607350 344809800 517214700 1034429400