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356427940 = 225116724181
BaseRepresentation
bin10101001111101…
…010100010100100
3220211200102012211
4111033222202210
51212221143230
655211253204
711555405341
oct2517524244
9824612184
10356427940
11173215650
129b44a204
1358ac6c0b
14354a17c8
152145842a
hex153ea8a4

356427940 has 48 divisors (see below), whose sum is σ = 828765504. Its totient is φ = 127670400.

The previous prime is 356427923. The next prime is 356427947. The reversal of 356427940 is 49724653.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 356427893 and 356427902.

It is not an unprimeable number, because it can be changed into a prime (356427947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2650 + ... + 26830.

It is an arithmetic number, because the mean of its divisors is an integer number (17265948).

Almost surely, 2356427940 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 356427940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414382752).

356427940 is an abundant number, since it is smaller than the sum of its proper divisors (472337564).

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

356427940 is a wasteful number, since it uses less digits than its factorization.

356427940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24268 (or 24266 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 356427940 is about 18879.2992454699. The cubic root of 356427940 is about 709.0179771483.

The spelling of 356427940 in words is "three hundred fifty-six million, four hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 14740 24181 48362 96724 120905 241810 265991 483620 531982 1063964 1329955 1620127 2659910 3240254 5319820 6480508 8100635 16201270 17821397 32402540 35642794 71285588 89106985 178213970 356427940