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2401004034 = 23211134122751
BaseRepresentation
bin1000111100011100…
…0110101000000010
320012022220122100100
42033013012220002
514404124112114
61034125503230
7113333124522
oct21707065002
96168818310
102401004034
111022338960
12570111b16
132c357a960
1418ac41682
15e0bc3909
hex8f1c6a02

2401004034 has 96 divisors (see below), whose sum is σ = 6260986368. Its totient is φ = 655200000.

The previous prime is 2401004009. The next prime is 2401004069. The reversal of 2401004034 is 4304001042.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2401003998 and 2401004016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94159 + ... + 116909.

It is an arithmetic number, because the mean of its divisors is an integer number (65218608).

Almost surely, 22401004034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401004034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130493184).

2401004034 is an abundant number, since it is smaller than the sum of its proper divisors (3859982334).

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

2401004034 is a wasteful number, since it uses less digits than its factorization.

2401004034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22824 (or 22821 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2401004034 is about 49000.0411632480. The cubic root of 2401004034 is about 1339.0525778688.

Adding to 2401004034 its reverse (4304001042), we get a palindrome (6705005076).

The spelling of 2401004034 in words is "two billion, four hundred one million, four thousand, thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 41 66 78 82 99 117 123 143 198 234 246 286 369 429 451 533 738 858 902 1066 1287 1353 1599 2574 2706 3198 4059 4797 5863 8118 9594 11726 17589 22751 35178 45502 52767 68253 105534 136506 204759 250261 295763 409518 500522 591526 750783 887289 932791 1501566 1774578 1865582 2252349 2661867 2798373 3253393 4504698 5323734 5596746 6506786 8395119 9760179 10260701 12126283 16790238 19520358 20521402 24252566 29280537 30782103 36378849 58561074 61564206 72757698 92346309 109136547 133389113 184692618 218273094 266778226 400167339 800334678 1200502017 2401004034