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241374042 = 2327131011459
BaseRepresentation
bin11100110001100…
…01001101011010
3121211012001221100
432120301031122
5443242432132
635541252230
75660434260
oct1630611532
9554161840
10241374042
11114281988
1268a04076
133b0123a0
14240b2430
15162cd37c
hexe63135a

241374042 has 96 divisors (see below), whose sum is σ = 650482560. Its totient is φ = 62985600.

The previous prime is 241374037. The next prime is 241374061. The reversal of 241374042 is 240473142.

241374042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2413740422 = 116522856302835528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241373997 and 241374015.

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, 164709 + ... + 166167.

It is an arithmetic number, because the mean of its divisors is an integer number (6775860).

Almost surely, 2241374042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241374042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325241280).

241374042 is an abundant number, since it is smaller than the sum of its proper divisors (409108518).

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

241374042 is a wasteful number, since it uses less digits than its factorization.

241374042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 241374042 is about 15536.2171071339. The cubic root of 241374042 is about 622.6302084038.

The spelling of 241374042 in words is "two hundred forty-one million, three hundred seventy-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 101 117 126 182 202 234 273 303 546 606 707 819 909 1313 1414 1459 1638 1818 2121 2626 2918 3939 4242 4377 6363 7878 8754 9191 10213 11817 12726 13131 18382 18967 20426 23634 26262 27573 30639 37934 55146 56901 61278 82719 91917 113802 132769 147359 165438 170703 183834 265538 294718 341406 398307 442077 796614 884154 1031513 1194921 1326231 1915667 2063026 2389842 2652462 3094539 3831334 5747001 6189078 9283617 11494002 13409669 17241003 18567234 26819338 34482006 40229007 80458014 120687021 241374042