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1402334496 = 253212174001
BaseRepresentation
bin101001110010101…
…1110110100100000
310121201201222021200
41103211132310200
510332444200441
6351052521200
746515434523
oct12345366440
93551658250
101402334496
1165a643732
12331780200
131946b8234
14d435cbba
15831a67b6
hex5395ed20

1402334496 has 72 divisors (see below), whose sum is σ = 3992163084. Its totient is φ = 466944000.

The previous prime is 1402334491. The next prime is 1402334503. The reversal of 1402334496 is 6944332041.

It is a happy number.

1402334496 is a `hidden beast` number, since 140 + 23 + 3 + 4 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1213546896 + 188787600 = 34836^2 + 13740^2 .

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 a self number, because there is not a number n which added to its sum of digits gives 1402334496.

It is not an unprimeable number, because it can be changed into a prime (1402334491) 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, 348496 + ... + 352496.

Almost surely, 21402334496 is an apocalyptic number.

1402334496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1402334496 is an abundant number, since it is smaller than the sum of its proper divisors (2589828588).

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

1402334496 is a wasteful number, since it uses less digits than its factorization.

1402334496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1402334496 is about 37447.7568887644. The cubic root of 1402334496 is about 1119.3104003209.

The spelling of 1402334496 in words is "one billion, four hundred two million, three hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1217 2434 3651 4001 4868 7302 8002 9736 10953 12003 14604 16004 19472 21906 24006 29208 32008 36009 38944 43812 48012 58416 64016 72018 87624 96024 116832 128032 144036 175248 192048 288072 350496 384096 576144 1152288 4869217 9738434 14607651 19476868 29215302 38953736 43822953 58430604 77907472 87645906 116861208 155814944 175291812 233722416 350583624 467444832 701167248 1402334496