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2306268672 = 2934613257
BaseRepresentation
bin1000100101110110…
…1101111000000000
312221201122120212020
42021131231320000
514210401044142
61020503201440
7111102650241
oct21135557000
95851576766
102306268672
11a83912874
12544446280
132a9a5b526
1417c420cc8
15d770dcec
hex8976de00

2306268672 has 80 divisors (see below), whose sum is σ = 6159262032. Its totient is φ = 766853120.

The previous prime is 2306268661. The next prime is 2306268721. The reversal of 2306268672 is 2768626032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706468 + ... + 709724.

Almost surely, 22306268672 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 2306268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079631016).

2306268672 is an abundant number, since it is smaller than the sum of its proper divisors (3852993360).

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

2306268672 is an equidigital number, since it uses as much as digits as its factorization.

2306268672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2306268672 is about 48023.6261854517. The cubic root of 2306268672 is about 1321.2042637089.

The spelling of 2306268672 in words is "two billion, three hundred six million, two hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 461 512 768 922 1383 1536 1844 2766 3257 3688 5532 6514 7376 9771 11064 13028 14752 19542 22128 26056 29504 39084 44256 52112 59008 78168 88512 104224 118016 156336 177024 208448 236032 312672 354048 416896 625344 708096 833792 1250688 1501477 1667584 2501376 3002954 4504431 5002752 6005908 9008862 12011816 18017724 24023632 36035448 48047264 72070896 96094528 144141792 192189056 288283584 384378112 576567168 768756224 1153134336 2306268672