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401240664 = 2332111721753
BaseRepresentation
bin10111111010100…
…111001001011000
31000222000010201100
4113322213021120
51310204200124
6103451551400
712641326566
oct2772471130
91028003640
10401240664
11196543060
12b245b560
1365187216
143b408a36
152535b1c9
hex17ea7258

401240664 has 144 divisors (see below), whose sum is σ = 1260038520. Its totient is φ = 114370560.

The previous prime is 401240641. The next prime is 401240683. The reversal of 401240664 is 466042104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228012 + ... + 229764.

Almost surely, 2401240664 is an apocalyptic number.

401240664 is a gapful number since it is divisible by the number (44) 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 401240664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630019260).

401240664 is an abundant number, since it is smaller than the sum of its proper divisors (858797856).

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

401240664 is a wasteful number, since it uses less digits than its factorization.

401240664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 401240664 is about 20030.9925864896. The cubic root of 401240664 is about 737.5672877034.

Adding to 401240664 its reverse (466042104), we get a palindrome (867282768).

The spelling of 401240664 in words is "four hundred one million, two hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 289 306 374 396 408 561 578 612 748 792 867 1122 1156 1224 1496 1683 1734 1753 2244 2312 2601 3179 3366 3468 3506 4488 5202 5259 6358 6732 6936 7012 9537 10404 10518 12716 13464 14024 15777 19074 19283 20808 21036 25432 28611 29801 31554 38148 38566 42072 57222 57849 59602 63108 76296 77132 89403 114444 115698 119204 126216 154264 173547 178806 228888 231396 238408 268209 327811 347094 357612 462792 506617 536418 655622 694188 715224 983433 1013234 1072836 1311244 1388376 1519851 1966866 2026468 2145672 2622488 2950299 3039702 3933732 4052936 4559553 5572787 5900598 6079404 7867464 9119106 11145574 11801196 12158808 16718361 18238212 22291148 23602392 33436722 36476424 44582296 50155083 66873444 100310166 133746888 200620332 401240664