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400240044 = 2232174367227
BaseRepresentation
bin10111110110110…
…010110110101100
31000220010022010100
4113312302312230
51304430140134
6103414311100
712626661411
oct2766626654
91026108110
10400240044
11195a1a2a6
12b2058490
1364bc6939
143b228108
152520e999
hex17db2dac

400240044 has 144 divisors (see below), whose sum is σ = 1117404288. Its totient is φ = 120282624.

The previous prime is 400240033. The next prime is 400240081. The reversal of 400240044 is 440042004.

It is a happy number.

It is a super-2 number, since 2×4002400442 = 320384185642243872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400239999 and 400240026.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1763059 + ... + 1763285.

It is an arithmetic number, because the mean of its divisors is an integer number (7759752).

Almost surely, 2400240044 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 400240044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558702144).

400240044 is an abundant number, since it is smaller than the sum of its proper divisors (717164244).

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

400240044 is a wasteful number, since it uses less digits than its factorization.

400240044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 400240044 is about 20006.0001999400. Note that the first 3 decimals coincide. The cubic root of 400240044 is about 736.9536585310.

Adding to 400240044 its reverse (440042004), we get a palindrome (840282048).

The spelling of 400240044 in words is "four hundred million, two hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 67 68 86 102 129 134 153 172 201 204 227 258 268 306 387 402 454 516 603 612 681 731 774 804 908 1139 1206 1362 1462 1548 2043 2193 2278 2412 2724 2881 2924 3417 3859 4086 4386 4556 5762 6579 6834 7718 8172 8643 8772 9761 10251 11524 11577 13158 13668 15209 15436 17286 19522 20502 23154 25929 26316 29283 30418 34572 34731 39044 41004 45627 46308 48977 51858 58566 60836 69462 87849 91254 97954 103716 117132 136881 138924 146931 165937 175698 182508 195908 258553 273762 293862 331874 351396 440793 497811 517106 547524 587724 653987 663748 775659 881586 995622 1034212 1307974 1493433 1551318 1763172 1961961 1991244 2326977 2615948 2986866 3102636 3923922 4653954 5885883 5973732 7847844 9307908 11117779 11771766 22235558 23543532 33353337 44471116 66706674 100060011 133413348 200120022 400240044