Search a number
-
+
400352244 = 2231771131211
BaseRepresentation
bin10111110111001…
…110001111110100
31000220100000000220
4113313032033310
51304442232434
6103420534340
712630636465
oct2767161764
91026300026
10400352244
11195a96626
12b20b13b0
1364c35a26
143b256d6c
1525232d49
hex17dce3f4

400352244 has 96 divisors (see below), whose sum is σ = 1015483392. Its totient is φ = 122304000.

The previous prime is 400352203. The next prime is 400352263. The reversal of 400352244 is 442253004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1897299 + ... + 1897509.

It is an arithmetic number, because the mean of its divisors is an integer number (10577952).

Almost surely, 2400352244 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 400352244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507741696).

400352244 is an abundant number, since it is smaller than the sum of its proper divisors (615131148).

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

400352244 is a wasteful number, since it uses less digits than its factorization.

400352244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 400352244 is about 20008.8041621682. The cubic root of 400352244 is about 737.0225159383.

The spelling of 400352244 in words is "four hundred million, three hundred fifty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 131 142 204 211 213 262 284 393 422 426 524 633 786 844 852 1207 1266 1572 2227 2414 2532 3587 3621 4454 4828 6681 7174 7242 8908 9301 10761 13362 14348 14484 14981 18602 21522 26724 27641 27903 29962 37204 43044 44943 55282 55806 59924 82923 89886 110564 111612 158117 165846 179772 254677 316234 331692 469897 474351 509354 632468 764031 939794 948702 1018708 1409691 1528062 1879588 1897404 1962511 2819382 3056124 3925022 5638764 5887533 7850044 11775066 23550132 33362687 66725374 100088061 133450748 200176122 400352244