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402131034 = 233234153149
BaseRepresentation
bin10111111110000…
…000100001011010
31001000200101002000
4113332000201122
51310421143114
6103523021430
712652025454
oct2776004132
91030611060
10402131034
11196aa0aa8
12b280a876
1365409576
143b59b2d4
1525484e09
hex17f8085a

402131034 has 128 divisors (see below), whose sum is σ = 979776000. Its totient is φ = 121904640.

The previous prime is 402131021. The next prime is 402131053. The reversal of 402131034 is 430131204.

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 = 402130998 and 402131016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2698792 + ... + 2698940.

It is an arithmetic number, because the mean of its divisors is an integer number (7654500).

Almost surely, 2402131034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402131034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

402131034 is an abundant number, since it is smaller than the sum of its proper divisors (577644966).

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

402131034 is a wasteful number, since it uses less digits than its factorization.

402131034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 402131034 is about 20053.2050804853. The cubic root of 402131034 is about 738.1124489899.

Adding to 402131034 its reverse (430131204), we get a palindrome (832262238).

The spelling of 402131034 in words is "four hundred two million, one hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 23 27 41 46 53 54 69 82 106 123 138 149 159 207 246 298 318 369 414 447 477 621 738 894 943 954 1107 1219 1242 1341 1431 1886 2173 2214 2438 2682 2829 2862 3427 3657 4023 4346 5658 6109 6519 6854 7314 7897 8046 8487 10281 10971 12218 13038 15794 16974 18327 19557 20562 21942 23691 25461 30843 32913 36654 39114 47382 49979 50922 54981 58671 61686 65826 71073 92529 99958 109962 117342 140507 142146 149937 164943 181631 185058 213219 281014 299874 323777 329886 363262 421521 426438 449811 544893 647554 843042 899622 971331 1089786 1264563 1349433 1634679 1942662 2529126 2698866 2913993 3269358 3793689 4904037 5827986 7446871 7587378 8741979 9808074 14893742 17483958 22340613 44681226 67021839 134043678 201065517 402131034