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401345532 = 223277321817
BaseRepresentation
bin10111111011000…
…000101111111100
31000222012110120100
4113323000233330
51310221024112
6103454121100
712642244410
oct2773005774
91028173510
10401345532
11196604925
12b24b0190
13651c2b83
143b434d40
152537c2dc
hex17ec0bfc

401345532 has 72 divisors (see below), whose sum is σ = 1175379296. Its totient is φ = 113094144.

The previous prime is 401345519. The next prime is 401345533. The reversal of 401345532 is 235543104.

It is a super-2 number, since 2×4013455322 = 322156472112726048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401345496 and 401345505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401345533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7488 + ... + 29304.

Almost surely, 2401345532 is an apocalyptic number.

401345532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401345532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587689648).

401345532 is an abundant number, since it is smaller than the sum of its proper divisors (774033764).

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

401345532 is a wasteful number, since it uses less digits than its factorization.

401345532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21907 (or 21902 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 401345532 is about 20033.6100590982. The cubic root of 401345532 is about 737.6315388090.

Adding to 401345532 its reverse (235543104), we get a palindrome (636888636).

The spelling of 401345532 in words is "four hundred one million, three hundred forty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 6132 9198 18396 21817 43634 65451 87268 130902 152719 196353 261804 305438 392706 458157 610876 785412 916314 1374471 1592641 1832628 2748942 3185282 4777923 5497884 6370564 9555846 11148487 14333769 19111692 22296974 28667538 33445461 44593948 57335076 66890922 100336383 133781844 200672766 401345532