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293142744 = 23324071427
BaseRepresentation
bin10001011110010…
…000000011011000
3202102121012020200
4101132100003120
51100021031434
645031022200
710156446366
oct2136200330
9672535220
10293142744
11140520534
128220a960
134896985b
142ad0a636
151ab07199
hex117900d8

293142744 has 24 divisors (see below), whose sum is σ = 793928460. Its totient is φ = 97714224.

The previous prime is 293142709. The next prime is 293142757. The reversal of 293142744 is 447241392.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 293142699 and 293142708.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2035642 + ... + 2035785.

Almost surely, 2293142744 is an apocalyptic number.

293142744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

293142744 is an abundant number, since it is smaller than the sum of its proper divisors (500785716).

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

293142744 is a wasteful number, since it uses less digits than its factorization.

293142744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071439 (or 4071432 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 293142744 is about 17121.4118576711. The cubic root of 293142744 is about 664.2930614717.

The spelling of 293142744 in words is "two hundred ninety-three million, one hundred forty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4071427 8142854 12214281 16285708 24428562 32571416 36642843 48857124 73285686 97714248 146571372 293142744