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412421310 = 232576171061
BaseRepresentation
bin11000100101010…
…000110010111110
31001202001011200100
4120211100302332
51321034440220
6104531341530
713135344330
oct3045206276
91052034610
10412421310
111a188a264
12b61518a6
13675a02a2
143cab9450
1526318d90
hex18950cbe

412421310 has 96 divisors (see below), whose sum is σ = 1228623552. Its totient is φ = 94026240.

The previous prime is 412421291. The next prime is 412421333. The reversal of 412421310 is 13124214.

It is a super-2 number, since 2×4124213102 = 340182673884232200, which contains 22 as substring.

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

It is a congruent number.

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, 388180 + ... + 389240.

It is an arithmetic number, because the mean of its divisors is an integer number (12798162).

Almost surely, 2412421310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412421310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614311776).

412421310 is an abundant number, since it is smaller than the sum of its proper divisors (816202242).

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

412421310 is a wasteful number, since it uses less digits than its factorization.

412421310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412421310 is about 20308.1587053086. The cubic root of 412421310 is about 744.3554384731.

Adding to 412421310 its reverse (13124214), we get a palindrome (425545524).

The spelling of 412421310 in words is "four hundred twelve million, four hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 617 630 1061 1234 1851 2122 3085 3183 3702 4319 5305 5553 6170 6366 7427 8638 9255 9549 10610 11106 12957 14854 15915 18510 19098 21595 22281 25914 27765 31830 37135 38871 43190 44562 47745 55530 64785 66843 74270 77742 95490 111405 129570 133686 194355 222810 334215 388710 654637 668430 1309274 1963911 3273185 3927822 4582459 5891733 6546370 9164918 9819555 11783466 13747377 19639110 22912295 27494754 29458665 41242131 45824590 58917330 68736885 82484262 137473770 206210655 412421310