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2300842336 = 251337831801
BaseRepresentation
bin1000100100100100…
…0001000101100000
312221100102220022211
42021021001011200
514203003423321
61020151011504
7111005560102
oct21111010540
95840386284
102300842336
11a808469a1
12542669b94
132a88ab690
1417b80b572
15d6edb0e1
hex89241160

2300842336 has 96 divisors (see below), whose sum is σ = 5073249888. Its totient is φ = 1020211200.

The previous prime is 2300842321. The next prime is 2300842337. The reversal of 2300842336 is 6332480032.

It is a junction number, because it is equal to n+sod(n) for n = 2300842298 and 2300842307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300842337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276636 + ... + 1278436.

It is an arithmetic number, because the mean of its divisors is an integer number (52846353).

Almost surely, 22300842336 is an apocalyptic number.

2300842336 is a gapful number since it is divisible by the number (26) 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 2300842336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536624944).

2300842336 is an abundant number, since it is smaller than the sum of its proper divisors (2772407552).

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

2300842336 is a wasteful number, since it uses less digits than its factorization.

2300842336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 2300842336 is about 47967.0963890874. The cubic root of 2300842336 is about 1320.1672454144.

The spelling of 2300842336 in words is "two billion, three hundred million, eight hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 83 104 148 166 208 296 332 416 481 592 664 962 1079 1184 1328 1801 1924 2158 2656 3071 3602 3848 4316 6142 7204 7696 8632 12284 14408 15392 17264 23413 24568 28816 34528 39923 46826 49136 57632 66637 79846 93652 98272 133274 149483 159692 187304 266548 298966 319384 374608 533096 597932 638768 749216 866281 1066192 1195864 1277536 1732562 1943279 2132384 2391728 3465124 3886558 4783456 5530871 6930248 7773116 11061742 13860496 15546232 22123484 27720992 31092464 44246968 62184928 71901323 88493936 143802646 176987872 287605292 575210584 1150421168 2300842336