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402134240 = 25519179739
BaseRepresentation
bin10111111110000…
…001010011100000
31001000200112110202
4113332001103200
51310421243430
6103523044332
712652041014
oct2776012340
91030615422
10402134240
11196aa3452
12b28106a8
136540ab71
143b59c544
1525485d45
hex17f814e0

402134240 has 96 divisors (see below), whose sum is σ = 1006992000. Its totient is φ = 151331328.

The previous prime is 402134219. The next prime is 402134251. The reversal of 402134240 is 42431204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543791 + ... + 544529.

It is an arithmetic number, because the mean of its divisors is an integer number (10489500).

Almost surely, 2402134240 is an apocalyptic number.

402134240 is a gapful number since it is divisible by the number (40) 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 402134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503496000).

402134240 is an abundant number, since it is smaller than the sum of its proper divisors (604857760).

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

402134240 is a wasteful number, since it uses less digits than its factorization.

402134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 402134240 is about 20053.2850176723. The cubic root of 402134240 is about 738.1144105249.

Adding to 402134240 its reverse (42431204), we get a palindrome (444565444).

The spelling of 402134240 in words is "four hundred two million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 179 190 304 358 380 608 716 739 760 895 1432 1478 1520 1790 2864 2956 3040 3401 3580 3695 5728 5912 6802 7160 7390 11824 13604 14041 14320 14780 17005 23648 27208 28082 28640 29560 34010 54416 56164 59120 68020 70205 108832 112328 118240 132281 136040 140410 224656 264562 272080 280820 449312 529124 544160 561640 661405 1058248 1123280 1322810 2116496 2246560 2513339 2645620 4232992 5026678 5291240 10053356 10582480 12566695 20106712 21164960 25133390 40213424 50266780 80426848 100533560 201067120 402134240