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2308107672 = 2332136413847
BaseRepresentation
bin1000100110010010…
…1110110110011000
312221212010000111100
42021210232312120
514211333421142
61021010431400
7111124406613
oct21144566630
95855100440
102308107672
11a84959502
12544b92560
132aa2535b0
1417c77d17a
15d7973b4c
hex8992ed98

2308107672 has 96 divisors (see below), whose sum is σ = 6744235680. Its totient is φ = 708894720.

The previous prime is 2308107643. The next prime is 2308107713. The reversal of 2308107672 is 2767018032.

It is a super-2 number, since 2×23081076722 = 10654722051090519168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598053 + ... + 601899.

It is an arithmetic number, because the mean of its divisors is an integer number (70252455).

Almost surely, 22308107672 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 2308107672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372117840).

2308107672 is an abundant number, since it is smaller than the sum of its proper divisors (4436128008).

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

2308107672 is a wasteful number, since it uses less digits than its factorization.

2308107672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2308107672 is about 48042.7691957905. The cubic root of 2308107672 is about 1321.5553429435. Note that the first 3 decimals are identical.

The spelling of 2308107672 in words is "two billion, three hundred eight million, one hundred seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 641 936 1282 1923 2564 3846 3847 5128 5769 7692 7694 8333 11538 11541 15384 15388 16666 23076 23082 24999 30776 33332 34623 46152 46164 49998 50011 66664 69246 74997 92328 99996 100022 138492 149994 150033 199992 200044 276984 299988 300066 400088 450099 599976 600132 900198 1200264 1800396 2465927 3600792 4931854 7397781 9863708 14795562 19727416 22193343 29591124 32057051 44386686 59182248 64114102 88773372 96171153 128228204 177546744 192342306 256456408 288513459 384684612 577026918 769369224 1154053836 2308107672