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2031334624 = 2511171013361
BaseRepresentation
bin111100100010011…
…1011010011100000
312020120022111020201
41321010323103200
513130010201444
6533322314544
7101224026244
oct17104732340
95216274221
102031334624
119526a9850
12488358a54
13264ac8967
14153ad4424
15bd501dd4
hex7913b4e0

2031334624 has 96 divisors (see below), whose sum is σ = 4666509792. Its totient is φ = 860160000.

The previous prime is 2031334619. The next prime is 2031334633. The reversal of 2031334624 is 4264331302.

It is a super-2 number, since 2×20313346242 = 8252640709322442752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2031334592 and 2031334601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602704 + ... + 606064.

It is an arithmetic number, because the mean of its divisors is an integer number (48609477).

Almost surely, 22031334624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031334624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333254896).

2031334624 is an abundant number, since it is smaller than the sum of its proper divisors (2635175168).

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

2031334624 is a wasteful number, since it uses less digits than its factorization.

2031334624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 2031334624 is about 45070.3297525101. The cubic root of 2031334624 is about 1266.4668417313.

Adding to 2031334624 its reverse (4264331302), we get a palindrome (6295665926).

The spelling of 2031334624 in words is "two billion, thirty-one million, three hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 101 136 176 187 202 272 352 374 404 544 748 808 1111 1496 1616 1717 2222 2992 3232 3361 3434 4444 5984 6722 6868 8888 13444 13736 17776 18887 26888 27472 35552 36971 37774 53776 54944 57137 73942 75548 107552 114274 147884 151096 228548 295768 302192 339461 457096 591536 604384 628507 678922 914192 1183072 1257014 1357844 1828384 2514028 2715688 3734071 5028056 5431376 5770837 7468142 10056112 10862752 11541674 14936284 20112224 23083348 29872568 46166696 59745136 63479207 92333392 119490272 126958414 184666784 253916828 507833656 1015667312 2031334624