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402307074 = 23413172661
BaseRepresentation
bin10111111110101…
…011100000000010
31001001000022120000
4113332223200002
51310442311244
6103530500430
712653360631
oct2776534002
91031008500
10402307074
11197101294
12b2894716
136546b730
143b605518
15254bc169
hex17fab802

402307074 has 120 divisors (see below), whose sum is σ = 1032835188. Its totient is φ = 116328960.

The previous prime is 402307069. The next prime is 402307079. The reversal of 402307074 is 470703204.

It is an interprime number because it is at equal distance from previous prime (402307069) and next prime (402307079).

It can be written as a sum of positive squares in 6 ways, for example, as 300155625 + 102151449 = 17325^2 + 10107^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (402307079) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 608304 + ... + 608964.

Almost surely, 2402307074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402307074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516417594).

402307074 is an abundant number, since it is smaller than the sum of its proper divisors (630528114).

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

402307074 is a wasteful number, since it uses less digits than its factorization.

402307074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 402307074 is about 20057.5939234994. The cubic root of 402307074 is about 738.2201405534.

The spelling of 402307074 in words is "four hundred two million, three hundred seven thousand, seventy-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 289 306 351 442 459 578 661 663 702 867 918 1053 1322 1326 1377 1734 1983 1989 2106 2601 2754 3757 3966 3978 5202 5949 5967 7514 7803 8593 11237 11271 11898 11934 15606 17186 17847 17901 22474 22542 23409 25779 33711 33813 35694 35802 46818 51558 53541 67422 67626 77337 101133 101439 107082 146081 154674 191029 202266 202878 232011 292162 303399 304317 382058 438243 464022 573087 606798 608634 696033 876486 910197 1146174 1314729 1392066 1719261 1820394 2483377 2629458 3438522 3944187 4966754 5157783 7450131 7888374 10315566 11832561 14900262 15473349 22350393 23665122 30946698 44700786 67051179 134102358 201153537 402307074