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2303249904 = 24343157329
BaseRepresentation
bin1000100101001000…
…1100110111110000
312221111222012220000
42021102030313300
514204112444104
61020314350000
7111035205204
oct21122146760
95844865800
102303249904
11a8214081a
1254342b300
132a9242487
1417bc76b04
15d7314639
hex8948cdf0

2303249904 has 100 divisors (see below), whose sum is σ = 6881434560. Its totient is φ = 742970880.

The previous prime is 2303249903. The next prime is 2303249911. The reversal of 2303249904 is 4099423032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303249903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11512 + ... + 68840.

Almost surely, 22303249904 is an apocalyptic number.

2303249904 is a gapful number since it is divisible by the number (24) 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 2303249904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440717280).

2303249904 is an abundant number, since it is smaller than the sum of its proper divisors (4578184656).

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

2303249904 is a wasteful number, since it uses less digits than its factorization.

2303249904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57380 (or 57365 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2303249904 is about 47992.1858639508. The cubic root of 2303249904 is about 1320.6275528420.

The spelling of 2303249904 in words is "two billion, three hundred three million, two hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 4464 5022 6696 10044 13392 20088 40176 57329 114658 171987 229316 343974 458632 515961 687948 917264 1031922 1375896 1547883 1777199 2063844 2751792 3095766 3554398 4127688 4643649 5331597 6191532 7108796 8255376 9287298 10663194 12383064 14217592 15994791 18574596 21326388 24766128 28435184 31989582 37149192 42652776 47984373 63979164 74298384 85305552 95968746 127958328 143953119 191937492 255916656 287906238 383874984 575812476 767749968 1151624952 2303249904