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1429036704 = 253213813593
BaseRepresentation
bin101010100101101…
…0101111010100000
310200120222120211100
41111023111322200
510411313133304
6353445114400
750261416524
oct12513257240
93616876740
101429036704
11673721477
1233a6b8a00
1319a0a7164
14d7b0dd84
15856cd439
hex552d5ea0

1429036704 has 72 divisors (see below), whose sum is σ = 4067897652. Its totient is φ = 475868160.

The previous prime is 1429036703. The next prime is 1429036717. The reversal of 1429036704 is 4076309241.

1429036704 is a `hidden beast` number, since 1 + 4 + 290 + 367 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1409852304 + 19184400 = 37548^2 + 4380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1429036703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395932 + ... + 399524.

Almost surely, 21429036704 is an apocalyptic number.

It is an amenable number.

1429036704 is an abundant number, since it is smaller than the sum of its proper divisors (2638860948).

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

1429036704 is a wasteful number, since it uses less digits than its factorization.

1429036704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1429036704 is about 37802.6018152190. The cubic root of 1429036704 is about 1126.3701374470.

The spelling of 1429036704 in words is "one billion, four hundred twenty-nine million, thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1381 2762 3593 4143 5524 7186 8286 10779 11048 12429 14372 16572 21558 22096 24858 28744 32337 33144 43116 44192 49716 57488 64674 66288 86232 99432 114976 129348 132576 172464 198864 258696 344928 397728 517392 1034784 4961933 9923866 14885799 19847732 29771598 39695464 44657397 59543196 79390928 89314794 119086392 158781856 178629588 238172784 357259176 476345568 714518352 1429036704