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363481940 = 22529626693
BaseRepresentation
bin10101101010100…
…100101101010100
3221022221210111002
4111222210231110
51221022410230
6100022402432
712002355053
oct2552445524
9838853432
10363481940
111771a33a8
12a1890418
135a3c6893
14363ba39a
1521d9d545
hex15aa4b54

363481940 has 24 divisors (see below), whose sum is σ = 789634440. Its totient is φ = 140379008.

The previous prime is 363481927. The next prime is 363481997. The reversal of 363481940 is 49184363.

It can be written as a sum of positive squares in 4 ways, for example, as 274576 + 363207364 = 524^2 + 19058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 363481894 and 363481903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312767 + ... + 313926.

It is an arithmetic number, because the mean of its divisors is an integer number (32901435).

Almost surely, 2363481940 is an apocalyptic number.

It is an amenable number.

363481940 is an abundant number, since it is smaller than the sum of its proper divisors (426152500).

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

363481940 is a wasteful number, since it uses less digits than its factorization.

363481940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626731 (or 626729 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 363481940 is about 19065.2023330465. The cubic root of 363481940 is about 713.6648040722.

The spelling of 363481940 in words is "three hundred sixty-three million, four hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 626693 1253386 2506772 3133465 6266930 12533860 18174097 36348194 72696388 90870485 181740970 363481940