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393426072 = 23341346703
BaseRepresentation
bin10111011100110…
…011010010011000
31000102022010010000
4113130303102120
51301204113242
6103012253000
712515031534
oct2734632230
91012263100
10393426072
11192095916
12ab911160
136367c2c0
143a372bc4
1524815a4c
hex17733498

393426072 has 80 divisors (see below), whose sum is σ = 1186748640. Its totient is φ = 121051584.

The previous prime is 393426031. The next prime is 393426073. The reversal of 393426072 is 270624393.

It is a happy number.

393426072 is a `hidden beast` number, since 3 + 9 + 3 + 42 + 607 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393426073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14928 + ... + 31775.

It is an arithmetic number, because the mean of its divisors is an integer number (14834358).

Almost surely, 2393426072 is an apocalyptic number.

It is an amenable number.

393426072 is an abundant number, since it is smaller than the sum of its proper divisors (793322568).

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

393426072 is a wasteful number, since it uses less digits than its factorization.

393426072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46734 (or 46721 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 393426072 is about 19834.9709351942. The cubic root of 393426072 is about 732.7475566402.

The spelling of 393426072 in words is "three hundred ninety-three million, four hundred twenty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 46703 93406 140109 186812 280218 373624 420327 560436 607139 840654 1120872 1214278 1260981 1681308 1821417 2428556 2521962 3362616 3642834 3782943 4857112 5043924 5464251 7285668 7565886 10087848 10928502 14571336 15131772 16392753 21857004 30263544 32785506 43714008 49178259 65571012 98356518 131142024 196713036 393426072