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3020414004 = 22321723892411
BaseRepresentation
bin1011010000000111…
…1101110000110100
321210111102221002100
42310001331300310
522141211222004
61215413542100
7134564044506
oct26401756064
97714387070
103020414004
11130aa43823
12703644930
133919b122a
142091dbd76
1512a277739
hexb407dc34

3020414004 has 144 divisors (see below), whose sum is σ = 8533848960. Its totient is φ = 895825920.

The previous prime is 3020413999. The next prime is 3020414011. The reversal of 3020414004 is 4004140203.

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, 1251559 + ... + 1253969.

It is an arithmetic number, because the mean of its divisors is an integer number (59262840).

Almost surely, 23020414004 is an apocalyptic number.

3020414004 is a gapful number since it is divisible by the number (34) 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 3020414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266924480).

3020414004 is an abundant number, since it is smaller than the sum of its proper divisors (5513434956).

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

3020414004 is a wasteful number, since it uses less digits than its factorization.

3020414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2545 counting only the distinct ones).

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

The square root of 3020414004 is about 54958.2933141123. The cubic root of 3020414004 is about 1445.5135212633.

Adding to 3020414004 its reverse (4004140203), we get a palindrome (7024554207).

The spelling of 3020414004 in words is "three billion, twenty million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 89 92 102 138 153 178 204 207 267 276 306 356 391 414 534 612 782 801 828 1068 1173 1513 1564 1602 2047 2346 2411 3026 3204 3519 4094 4539 4692 4822 6052 6141 7038 7233 8188 9078 9644 12282 13617 14076 14466 18156 18423 21699 24564 27234 28932 34799 36846 40987 43398 54468 55453 69598 73692 81974 86796 104397 110906 122961 139196 163948 166359 208794 214579 221812 245922 313191 332718 368883 417588 429158 491844 499077 626382 643737 665436 737766 858316 942701 998154 1252764 1287474 1475532 1885402 1931211 1996308 2574948 2828103 3647843 3770804 3862422 4935317 5656206 7295686 7724844 8484309 9870634 10943529 11312412 14591372 14805951 16968618 19741268 21887058 29611902 32830587 33937236 43774116 44417853 59223804 65661174 83900389 88835706 131322348 167800778 177671412 251701167 335601556 503402334 755103501 1006804668 1510207002 3020414004