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400341172 = 2272111929337
BaseRepresentation
bin10111110111001…
…011100010110100
31000220022102211211
4113313023202310
51304441404142
6103420411204
712630562300
oct2767134264
91026272754
10400341172
11195a89280
12b20a6b04
1364c3098a
143b252d00
152522e917
hex17dcb8b4

400341172 has 144 divisors (see below), whose sum is σ = 971006400. Its totient is φ = 142248960.

The previous prime is 400341167. The next prime is 400341173. The reversal of 400341172 is 271143004.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400341173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187788 + ... + 1188124.

It is an arithmetic number, because the mean of its divisors is an integer number (6743100).

Almost surely, 2400341172 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 400341172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485503200).

400341172 is an abundant number, since it is smaller than the sum of its proper divisors (570665228).

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

400341172 is a wasteful number, since it uses less digits than its factorization.

400341172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 400341172 is about 20008.5274820512. The cubic root of 400341172 is about 737.0157215977.

Adding to 400341172 its reverse (271143004), we get a palindrome (671484176).

The spelling of 400341172 in words is "four hundred million, three hundred forty-one thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 19 22 28 29 38 44 49 58 76 77 98 116 133 154 196 203 209 266 308 319 337 406 418 532 539 551 638 674 812 836 931 1078 1102 1276 1348 1421 1463 1862 2156 2204 2233 2359 2842 2926 3707 3724 3857 4466 4718 5684 5852 6061 6403 7414 7714 8932 9436 9773 10241 12122 12806 14828 15428 15631 16513 19546 20482 24244 25612 25949 26999 31262 33026 39092 40964 42427 44821 51898 53998 62524 66052 68411 70433 84854 89642 103796 107503 107996 136822 140866 169708 179284 181643 185687 215006 273644 281732 296989 313747 363286 371374 430012 478877 493031 593978 627494 726572 742748 752521 957754 986062 1187956 1254988 1299809 1505042 1915508 1972124 2042557 2599618 3010084 3451217 4085114 5199236 5267647 6902434 8170228 9098663 10535294 13804868 14297899 18197326 21070588 28595798 36394652 57191596 100085293 200170586 400341172