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356426240 = 295294801
BaseRepresentation
bin10101001111101…
…010001000000000
3220211200022212212
4111033222020000
51212221114430
655211241252
711555400362
oct2517521000
9824608785
10356426240
11173214345
129b449228
1358ac6201
14354a0d32
1521457b95
hex153ea200

356426240 has 80 divisors (see below), whose sum is σ = 884240280. Its totient is φ = 137625600.

The previous prime is 356426201. The next prime is 356426321. The reversal of 356426240 is 42624653.

It can be written as a sum of positive squares in 4 ways, for example, as 299151616 + 57274624 = 17296^2 + 7568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 356426197 and 356426206.

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 7 ways as a sum of consecutive naturals, for example, 71840 + ... + 76640.

Almost surely, 2356426240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442120140).

356426240 is an abundant number, since it is smaller than the sum of its proper divisors (527814040).

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

356426240 is an equidigital number, since it uses as much as digits as its factorization.

356426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 356426240 is about 18879.2542225587. The cubic root of 356426240 is about 709.0168499148.

The spelling of 356426240 in words is "three hundred fifty-six million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1160 1280 1856 2320 2560 3712 4640 4801 7424 9280 9602 14848 18560 19204 24005 37120 38408 48010 74240 76816 96020 139229 153632 192040 278458 307264 384080 556916 614528 696145 768160 1113832 1229056 1392290 1536320 2227664 2458112 2784580 3072640 4455328 5569160 6145280 8910656 11138320 12290560 17821312 22276640 35642624 44553280 71285248 89106560 178213120 356426240